GCD of 656, 635, 610, 742 Calculator

Given Input numbers are 656, 635, 610, 742

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 656, 635, 610, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 635, 610, 742 is 1.

Therefore, GCD of numbers 656, 635, 610, 742 is 1

Given Input Data is 656, 635, 610, 742

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 635 is 5 x 127

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 742 is 2 x 7 x 53

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(656, 635) = 416560

GCD(656, 635) = ( 656 x 635 ) / 416560

GCD(656, 635) = 416560 / 416560

GCD(656, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 656, 635, 610, 742 is 1

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1. What is the GCD of 656, 635, 610, 742?

GCD of 656, 635, 610, 742 is 1

2. Where do I get the detailed procedure to find GCD of 656, 635, 610, 742?

You can find a detailed procedure to find GCD of 656, 635, 610, 742 on our page.

3. How to find GCD of 656, 635, 610, 742 on a calculator?

You can find the GCD of 656, 635, 610, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.