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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 6 - Mathematics1.36 GCD - Prime Factors Method

There are two methods to find the G.C.D. of two or more numbers:
(i) Method of Prime Factors
(ii) Division Method

#### GCD using the Method of Prime Factors

Example: Find the G.C.D. of 48, 60.
First, write the numbers given as the product of primes.
48 = 2 x 2 x 2 x 2 x 3.
60 = 2 x 2 x 3 x 5.
We observe that 2, 2, and 3 are the common prime factors of 48 and 60.
The product of the common prime factos is 2 x 2 x 3 = 12.
Hence the G.C.D of 48 and 60 is 12.
Directions: Find the G.C.D. of the numbers given in the following questions using the Method of Prime Factors. Also write at least 10 examples of your own.
 Q 1: Find the G.C.D. of 60, 90, 150.Answer: Q 2: Find the G.C.D. of 420, 630, 700.Answer: Q 3: Find the G.C.D. of 16, 30.Answer: Q 4: Find the G.C.D. of 570, 665, 266.Answer: Q 5: Find the G.C.D. of 45, 120.Answer: Q 6: Find the G.C.D. of 40, 140.Answer: Q 7: Find the G.C.D. of 70, 210, 315.Answer: Q 8: Find the G.C.D. of 1066, 46189.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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