Question

find the hcf of the following by division method 175,1225,3675​

Answer 1

Answer:

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

For finding the H.C.F of any two numbers by continued division method, We follow the following steps,

Step 1 : We divide the bigger number by smaller one.

Step 2 : Divide smaller number in previous step with remainder obtained in previous step.

Step 3 : Continue this process till we get 0 as remainder and the divisor obtained in end is the H.C.F.

In three numbers we start with two numbers and check the third number by the result.

Here, the given numbers,

70, 105, and 175,

Smaller number is 70 and larger number is 175,

By the above steps,

H.C.F( 70, 175 ) = 35

Now, 105 is also divisible by 35.

Hence, the H.C.F.( 70, 105, 175 ) = 35

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Answer 2

HCF of 175, 1225 and 3675

= 175 = 5 × 5 × 7

= 1225 = 5 × 5 × 7 × 7

= 3675 = 3 × 5 × 5 × 7 × 7

∴ HCF of 175, 1225 and 3675

= 5 × 5 × 7

= 175

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