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Grade 8 - Mathematics
5.13 Greatest Common Factor - II

The G.C.D. of any two natural numbers a and b is x, then G.C.D. of ma and mb is mx where m is a natural number.

Example:
Find the G.C.D. of 36 and 48, If multiply these numbers with 5 then find the G.C.D. of that numbers.

Solution:
The G.C.D of 36 and 48 is 12.
The numbers are multiplied with 5 that is,
5*36 and 5*48,
Therefore, the G.C.D. of these numbers is 5 * 12 =60


Directions: Solve the following problems. . Also write at least ten examples of your own.
Q 1: Find the G.C.D of 6 and 12, If multiply these numbers with 6 then find the G.C.D. of that numbers.
16
26
36

Q 2: Find the G.C.D of 24 and 72, If multiply these numbers with 4 then find the G.C.D. of that numbers.
96
86
76

Q 3: Find the G.C.D of 18 and 18, If multiply these numbers with 7 then find the G.C.D. of that numbers.
32
42
22

Q 4: Find the G.C.D of 68 and 92, If multiply these numbers with 7 then find the G.C.D. of that numbers.
26
28
24

Q 5: Find the G.C.D of 42 and 58, If multiply these numbers with 7 then find the G.C.D. of that numbers.
14
2
7

Q 6: Find the G.C.D of 25 and 30, If multiply these numbers with 10 then find the G.C.D. of that numbers.
45
50
40

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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