GCD of 427, 974, 556, 588 Calculator

Given Input numbers are 427, 974, 556, 588

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 974

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

1, 2, 487, 974

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 427, 974, 556, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 974, 556, 588 is 1.

Therefore, GCD of numbers 427, 974, 556, 588 is 1

Given Input Data is 427, 974, 556, 588

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 974 is 2 x 487

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(427, 974) = 415898

GCD(427, 974) = ( 427 x 974 ) / 415898

GCD(427, 974) = 415898 / 415898

GCD(427, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 427, 974, 556, 588 is 1

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1. What is the GCD of 427, 974, 556, 588?

GCD of 427, 974, 556, 588 is 1

2. Where do I get the detailed procedure to find GCD of 427, 974, 556, 588?

You can find a detailed procedure to find GCD of 427, 974, 556, 588 on our page.

3. How to find GCD of 427, 974, 556, 588 on a calculator?

You can find the GCD of 427, 974, 556, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.