GCD of 296, 377, 500, 724 Calculator

Given Input numbers are 296, 377, 500, 724

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 296, 377, 500, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 377, 500, 724 is 1.

Therefore, GCD of numbers 296, 377, 500, 724 is 1

Given Input Data is 296, 377, 500, 724

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 377 is 13 x 29

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 724 is 2 x 2 x 181

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(296, 377) = 111592

GCD(296, 377) = ( 296 x 377 ) / 111592

GCD(296, 377) = 111592 / 111592

GCD(296, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

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

GCD of 296, 377, 500, 724 is 1

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1. What is the GCD of 296, 377, 500, 724?

GCD of 296, 377, 500, 724 is 1

2. Where do I get the detailed procedure to find GCD of 296, 377, 500, 724?

You can find a detailed procedure to find GCD of 296, 377, 500, 724 on our page.

3. How to find GCD of 296, 377, 500, 724 on a calculator?

You can find the GCD of 296, 377, 500, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.