GCD of 656, 749, 426 Calculator

Given Input numbers are 656, 749, 426

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 656, 749, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 749, 426 is 1.

Therefore, GCD of numbers 656, 749, 426 is 1

Given Input Data is 656, 749, 426

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 749 is 7 x 107

Prime Factorization of 426 is 2 x 3 x 71

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, 749) = 491344

GCD(656, 749) = ( 656 x 749 ) / 491344

GCD(656, 749) = 491344 / 491344

GCD(656, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 656, 749, 426 is 1

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1. What is the GCD of 656, 749, 426?

GCD of 656, 749, 426 is 1

2. Where do I get the detailed procedure to find GCD of 656, 749, 426?

You can find a detailed procedure to find GCD of 656, 749, 426 on our page.

3. How to find GCD of 656, 749, 426 on a calculator?

You can find the GCD of 656, 749, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.