GCD of 357, 100, 724, 331 Calculator

Given Input numbers are 357, 100, 724, 331

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 357, 100, 724, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 100, 724, 331 is 1.

Therefore, GCD of numbers 357, 100, 724, 331 is 1

Given Input Data is 357, 100, 724, 331

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 331 is 331

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(357, 100) = 35700

GCD(357, 100) = ( 357 x 100 ) / 35700

GCD(357, 100) = 35700 / 35700

GCD(357, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 357, 100, 724, 331 is 1

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1. What is the GCD of 357, 100, 724, 331?

GCD of 357, 100, 724, 331 is 1

2. Where do I get the detailed procedure to find GCD of 357, 100, 724, 331?

You can find a detailed procedure to find GCD of 357, 100, 724, 331 on our page.

3. How to find GCD of 357, 100, 724, 331 on a calculator?

You can find the GCD of 357, 100, 724, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.