GCD of 656, 420, 392, 977 Calculator

Given Input numbers are 656, 420, 392, 977

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 656, 420, 392, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 420, 392, 977 is 1.

Therefore, GCD of numbers 656, 420, 392, 977 is 1

Given Input Data is 656, 420, 392, 977

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 977 is 977

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, 420) = 68880

GCD(656, 420) = ( 656 x 420 ) / 68880

GCD(656, 420) = 275520 / 68880

GCD(656, 420) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 392

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

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

GCD(4, 392) = 1568 / 392

GCD(4, 392) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 977

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

LCM(4, 977) = 3908

GCD(4, 977) = ( 4 x 977 ) / 3908

GCD(4, 977) = 3908 / 3908

GCD(4, 977) = 1

GCD of 656, 420, 392, 977 is 1

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1. What is the GCD of 656, 420, 392, 977?

GCD of 656, 420, 392, 977 is 1

2. Where do I get the detailed procedure to find GCD of 656, 420, 392, 977?

You can find a detailed procedure to find GCD of 656, 420, 392, 977 on our page.

3. How to find GCD of 656, 420, 392, 977 on a calculator?

You can find the GCD of 656, 420, 392, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.