GCD of 974, 577, 12, 641 Calculator

Given Input numbers are 974, 577, 12, 641

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 974, 577, 12, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 577, 12, 641 is 1.

Therefore, GCD of numbers 974, 577, 12, 641 is 1

Given Input Data is 974, 577, 12, 641

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 577 is 577

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 641 is 641

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(974, 577) = 561998

GCD(974, 577) = ( 974 x 577 ) / 561998

GCD(974, 577) = 561998 / 561998

GCD(974, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

GCD of 974, 577, 12, 641 is 1

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1. What is the GCD of 974, 577, 12, 641?

GCD of 974, 577, 12, 641 is 1

2. Where do I get the detailed procedure to find GCD of 974, 577, 12, 641?

You can find a detailed procedure to find GCD of 974, 577, 12, 641 on our page.

3. How to find GCD of 974, 577, 12, 641 on a calculator?

You can find the GCD of 974, 577, 12, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.