GCD of 296, 500, 743 Calculator

Given Input numbers are 296, 500, 743

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 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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 296, 500, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 500, 743 is 1.

Therefore, GCD of numbers 296, 500, 743 is 1

Given Input Data is 296, 500, 743

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 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 743 is 743

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, 500) = 37000

GCD(296, 500) = ( 296 x 500 ) / 37000

GCD(296, 500) = 148000 / 37000

GCD(296, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 743

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

LCM(4, 743) = 2972

GCD(4, 743) = ( 4 x 743 ) / 2972

GCD(4, 743) = 2972 / 2972

GCD(4, 743) = 1

GCD of 296, 500, 743 is 1

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1. What is the GCD of 296, 500, 743?

GCD of 296, 500, 743 is 1

2. Where do I get the detailed procedure to find GCD of 296, 500, 743?

You can find a detailed procedure to find GCD of 296, 500, 743 on our page.

3. How to find GCD of 296, 500, 743 on a calculator?

You can find the GCD of 296, 500, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.