H.C.F of Numbers Using Common Division Method

H.C.F of Numbers Using Common  Division Method:

Step-1: Divide the given numbers together by the smallest prime number which can exactly divides all the given numbers.

Step-2: Repeat the process until we reach a stage where no common prime factor exists for all the numbers.

Step-3: We can see that the factors mentioned in the left side clearly divides all the numbers exactly and they are common prime factors.

Step-4: Multiply those common prime factors to get the H.C.F.

 

Find the H.C.F of numbers by common division method:

1) 24, 36 and 60.

Answer:

The left side Prime factors which divides the given numbers exactly are 2, 2, 3.

Therefore, H.C.F of 24,36 and 60 = 2 * 2 * 3 = 12.

 

2) 136 ,68, 102.

Answer:

The left side Prime factors which divides the given numbers exactly are 2, 17.

Therefore, H.C.F of 136, 68 , 102 = 2 * 17 = 34.

3) 43, 91, 183.

Answer:

All the given numbers are Prime numbers. So, the factors of Prime numbers are 1 and number itself.

Therefore, H.C.F of 43, 91, 183 = 1.

 

4) 48, 56, 72.

Answer:

The left side Prime factors which divides the given numbers exactly are 2, 2, 2

Therefore, H.C.F of 48, 56, 72 = 2 * 2 * 2 = 8.

 

5) 44, 66,110.

Answer:

The left side Prime factors which divides the given numbers exactly are 2, 11.

Therefore, H.C.F of 44, 66, 110 = 2  * 11 = 22.