GCD of 316, 869, 56, 959 Calculator

Given Input numbers are 316, 869, 56, 959

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 316, 869, 56, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 869, 56, 959 is 1.

Therefore, GCD of numbers 316, 869, 56, 959 is 1

Given Input Data is 316, 869, 56, 959

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 869 is 11 x 79

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 959 is 7 x 137

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(316, 869) = 3476

GCD(316, 869) = ( 316 x 869 ) / 3476

GCD(316, 869) = 274604 / 3476

GCD(316, 869) = 79

Step2:

Here we consider the GCD from the above i.e. 79 as first number and the next as 56

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

LCM(79, 56) = 4424

GCD(79, 56) = ( 79 x 56 ) / 4424

GCD(79, 56) = 4424 / 4424

GCD(79, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 316, 869, 56, 959 is 1

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1. What is the GCD of 316, 869, 56, 959?

GCD of 316, 869, 56, 959 is 1

2. Where do I get the detailed procedure to find GCD of 316, 869, 56, 959?

You can find a detailed procedure to find GCD of 316, 869, 56, 959 on our page.

3. How to find GCD of 316, 869, 56, 959 on a calculator?

You can find the GCD of 316, 869, 56, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.