GCD of 71, 725, 400, 982 Calculator

Given Input numbers are 71, 725, 400, 982

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 71, 725, 400, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 725, 400, 982 is 1.

Therefore, GCD of numbers 71, 725, 400, 982 is 1

Given Input Data is 71, 725, 400, 982

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

Prime Factorization of 71 is 71

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 982 is 2 x 491

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(71, 725) = 51475

GCD(71, 725) = ( 71 x 725 ) / 51475

GCD(71, 725) = 51475 / 51475

GCD(71, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 71, 725, 400, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 796, 767, 134
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1. What is the GCD of 71, 725, 400, 982?

GCD of 71, 725, 400, 982 is 1

2. Where do I get the detailed procedure to find GCD of 71, 725, 400, 982?

You can find a detailed procedure to find GCD of 71, 725, 400, 982 on our page.

3. How to find GCD of 71, 725, 400, 982 on a calculator?

You can find the GCD of 71, 725, 400, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.