GCD of 856, 992, 31, 587 Calculator

Given Input numbers are 856, 992, 31, 587

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 856, 992, 31, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 992, 31, 587 is 1.

Therefore, GCD of numbers 856, 992, 31, 587 is 1

Given Input Data is 856, 992, 31, 587

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 31 is 31

Prime Factorization of 587 is 587

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(856, 992) = 106144

GCD(856, 992) = ( 856 x 992 ) / 106144

GCD(856, 992) = 849152 / 106144

GCD(856, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 31

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

LCM(8, 31) = 248

GCD(8, 31) = ( 8 x 31 ) / 248

GCD(8, 31) = 248 / 248

GCD(8, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 856, 992, 31, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 795, 76, 527
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• GCD of 966, 567, 90, 149

1. What is the GCD of 856, 992, 31, 587?

GCD of 856, 992, 31, 587 is 1

2. Where do I get the detailed procedure to find GCD of 856, 992, 31, 587?

You can find a detailed procedure to find GCD of 856, 992, 31, 587 on our page.

3. How to find GCD of 856, 992, 31, 587 on a calculator?

You can find the GCD of 856, 992, 31, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.