GCD of 982, 874, 625, 979 Calculator

Given Input numbers are 982, 874, 625, 979

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 982, 874, 625, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 874, 625, 979 is 1.

Therefore, GCD of numbers 982, 874, 625, 979 is 1

Given Input Data is 982, 874, 625, 979

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 979 is 11 x 89

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(982, 874) = 429134

GCD(982, 874) = ( 982 x 874 ) / 429134

GCD(982, 874) = 858268 / 429134

GCD(982, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 982, 874, 625, 979 is 1

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1. What is the GCD of 982, 874, 625, 979?

GCD of 982, 874, 625, 979 is 1

2. Where do I get the detailed procedure to find GCD of 982, 874, 625, 979?

You can find a detailed procedure to find GCD of 982, 874, 625, 979 on our page.

3. How to find GCD of 982, 874, 625, 979 on a calculator?

You can find the GCD of 982, 874, 625, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.