GCD of 656, 140, 421, 492 Calculator

Given Input numbers are 656, 140, 421, 492

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 656, 140, 421, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 140, 421, 492 is 1.

Therefore, GCD of numbers 656, 140, 421, 492 is 1

Given Input Data is 656, 140, 421, 492

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 140 is 2 x 2 x 5 x 7

Prime Factorization of 421 is 421

Prime Factorization of 492 is 2 x 2 x 3 x 41

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, 140) = 22960

GCD(656, 140) = ( 656 x 140 ) / 22960

GCD(656, 140) = 91840 / 22960

GCD(656, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 421

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

LCM(4, 421) = 1684

GCD(4, 421) = ( 4 x 421 ) / 1684

GCD(4, 421) = 1684 / 1684

GCD(4, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 656, 140, 421, 492 is 1

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1. What is the GCD of 656, 140, 421, 492?

GCD of 656, 140, 421, 492 is 1

2. Where do I get the detailed procedure to find GCD of 656, 140, 421, 492?

You can find a detailed procedure to find GCD of 656, 140, 421, 492 on our page.

3. How to find GCD of 656, 140, 421, 492 on a calculator?

You can find the GCD of 656, 140, 421, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.