GCD of 332, 724, 57, 899 Calculator

Given Input numbers are 332, 724, 57, 899

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 332, 724, 57, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 724, 57, 899 is 1.

Therefore, GCD of numbers 332, 724, 57, 899 is 1

Given Input Data is 332, 724, 57, 899

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 57 is 3 x 19

Prime Factorization of 899 is 29 x 31

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(332, 724) = 60092

GCD(332, 724) = ( 332 x 724 ) / 60092

GCD(332, 724) = 240368 / 60092

GCD(332, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 57

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

LCM(4, 57) = 228

GCD(4, 57) = ( 4 x 57 ) / 228

GCD(4, 57) = 228 / 228

GCD(4, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 332, 724, 57, 899 is 1

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1. What is the GCD of 332, 724, 57, 899?

GCD of 332, 724, 57, 899 is 1

2. Where do I get the detailed procedure to find GCD of 332, 724, 57, 899?

You can find a detailed procedure to find GCD of 332, 724, 57, 899 on our page.

3. How to find GCD of 332, 724, 57, 899 on a calculator?

You can find the GCD of 332, 724, 57, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.