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### Grade 8 - Mathematics5.13 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 42 and 58, If multiply these numbers with 7 then find the G.C.D. of that numbers.1472 Q 2: Find the G.C.D of 25 and 30, If multiply these numbers with 10 then find the G.C.D. of that numbers.504045 Q 3: Find the G.C.D of 6 and 12, If multiply these numbers with 6 then find the G.C.D. of that numbers.362616 Q 4: Find the G.C.D of 18 and 18, If multiply these numbers with 7 then find the G.C.D. of that numbers.223242 Q 5: Find the G.C.D of 24 and 52, If multiply these numbers with 8 then find the G.C.D. of that numbers.423648 Q 6: Find the G.C.D of 24 and 72, If multiply these numbers with 4 then find the G.C.D. of that numbers.869676 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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