GCD of 971, 428, 279, 659 Calculator

Given Input numbers are 971, 428, 279, 659

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 971, 428, 279, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 428, 279, 659 is 1.

Therefore, GCD of numbers 971, 428, 279, 659 is 1

Given Input Data is 971, 428, 279, 659

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

Prime Factorization of 971 is 971

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 659 is 659

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(971, 428) = 415588

GCD(971, 428) = ( 971 x 428 ) / 415588

GCD(971, 428) = 415588 / 415588

GCD(971, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 971, 428, 279, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 886, 169, 324
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• GCD of 289, 751, 594, 317

1. What is the GCD of 971, 428, 279, 659?

GCD of 971, 428, 279, 659 is 1

2. Where do I get the detailed procedure to find GCD of 971, 428, 279, 659?

You can find a detailed procedure to find GCD of 971, 428, 279, 659 on our page.

3. How to find GCD of 971, 428, 279, 659 on a calculator?

You can find the GCD of 971, 428, 279, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.