GCD of 125, 982, 31, 822 Calculator

Given Input numbers are 125, 982, 31, 822

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 982

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

1, 2, 491, 982

Divisors of 31

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

1, 31

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 125, 982, 31, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 982, 31, 822 is 1.

Therefore, GCD of numbers 125, 982, 31, 822 is 1

Given Input Data is 125, 982, 31, 822

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 982 is 2 x 491

Prime Factorization of 31 is 31

Prime Factorization of 822 is 2 x 3 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(125, 982) = 122750

GCD(125, 982) = ( 125 x 982 ) / 122750

GCD(125, 982) = 122750 / 122750

GCD(125, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 125, 982, 31, 822 is 1

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1. What is the GCD of 125, 982, 31, 822?

GCD of 125, 982, 31, 822 is 1

2. Where do I get the detailed procedure to find GCD of 125, 982, 31, 822?

You can find a detailed procedure to find GCD of 125, 982, 31, 822 on our page.

3. How to find GCD of 125, 982, 31, 822 on a calculator?

You can find the GCD of 125, 982, 31, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.