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Find HCF from LCM of Numbers

Name Grade School
Date Questions20 Score
1
Find the GCF if the LCM of 130 and 30 is 390.
2
Find the GCF if the LCM of 30 and 100 is 300.
3
Find the GCF if the LCM of 9 and 3 is 9.
4
Find the GCF if the LCM of 8 and 2 is 8.
5
Find the GCF if the LCM of 32 and 4 is 32.
6
Find the GCF if the LCM of 40 and 8 is 40.
7
Find the GCF if the LCM of 105 and 28 is 420.
8
Find the GCF if the LCM of 120 and 80 is 240.
9
Find the GCF if the LCM of 12 and 24 is 24.
10
Find the GCF if the LCM of 7 and 10 is 70.
11
Find the GCF if the LCM of 96 and 16 is 96.
12
Find the GCF if the LCM of 5 and 2 is 10.
13
Find the GCF if the LCM of 44 and 28 is 308.
14
Find the GCF if the LCM of 9 and 7 is 63.
15
Find the GCF if the LCM of 40 and 24 is 120.
16
Find the GCF if the LCM of 22 and 12 is 132.
17
Find the GCF if the LCM of 8 and 4 is 8.
18
Find the GCF if the LCM of 39 and 12 is 156.
19
Find the GCF if the LCM of 6 and 9 is 18.
20
Find the GCF if the LCM of 108 and 63 is 756.

Answers Key
1
Find the GCF if the LCM of 130 and 30 is 390.
10
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
130 x 30390
=
3900390
GCF = 10
2
Find the GCF if the LCM of 30 and 100 is 300.
10
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
30 x 100300
=
3000300
GCF = 10
3
Find the GCF if the LCM of 9 and 3 is 9.
3
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
9 x 39
=
279
GCF = 3
4
Find the GCF if the LCM of 8 and 2 is 8.
2
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
8 x 28
=
168
GCF = 2
5
Find the GCF if the LCM of 32 and 4 is 32.
4
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
32 x 432
=
12832
GCF = 4
6
Find the GCF if the LCM of 40 and 8 is 40.
8
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
40 x 840
=
32040
GCF = 8
7
Find the GCF if the LCM of 105 and 28 is 420.
7
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
105 x 28420
=
2940420
GCF = 7
8
Find the GCF if the LCM of 120 and 80 is 240.
40
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
120 x 80240
=
9600240
GCF = 40
9
Find the GCF if the LCM of 12 and 24 is 24.
12
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
12 x 2424
=
28824
GCF = 12
10
Find the GCF if the LCM of 7 and 10 is 70.
1
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
7 x 1070
=
7070
GCF = 1
11
Find the GCF if the LCM of 96 and 16 is 96.
16
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
96 x 1696
=
153696
GCF = 16
12
Find the GCF if the LCM of 5 and 2 is 10.
1
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
5 x 210
=
1010
GCF = 1
13
Find the GCF if the LCM of 44 and 28 is 308.
4
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
44 x 28308
=
1232308
GCF = 4
14
Find the GCF if the LCM of 9 and 7 is 63.
1
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
9 x 763
=
6363
GCF = 1
15
Find the GCF if the LCM of 40 and 24 is 120.
8
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
40 x 24120
=
960120
GCF = 8
16
Find the GCF if the LCM of 22 and 12 is 132.
2
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
22 x 12132
=
264132
GCF = 2
17
Find the GCF if the LCM of 8 and 4 is 8.
4
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
8 x 48
=
328
GCF = 4
18
Find the GCF if the LCM of 39 and 12 is 156.
3
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
39 x 12156
=
468156
GCF = 3
19
Find the GCF if the LCM of 6 and 9 is 18.
3
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
6 x 918
=
5418
GCF = 3
20
Find the GCF if the LCM of 108 and 63 is 756.
9
LCM x GCF = Product of Numbers
GCF =
Product of NumbersLCM
=
108 x 63756
=
6804756
GCF = 9

GCF from LCM of Numbers Worksheet

Find GCF from LCM of numbers worksheet with answers to practice & learn 6th grade math problems on greatest common factor is available online for free in printable & downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 worksheet for practice how to find HCF from LCM of given two numbers.

How to Use this Worksheet

In this sixth grade math worksheet, students are required to find what is the greatest or highest common factor from LCM of given two numbers. Divide the product of numbers by LCM provides the GCF of those numbers.

Answers Key

Teachers, parents or students can check or validate the solved math workbook of 6th grade math questions on finding the GCF from LCM of given two numbers by using the corresponding answers key which comprises the step by step work for each problem in the worksheet.

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