GCD of 600, 426, 472, 724 Calculator

Given Input numbers are 600, 426, 472, 724

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 600, 426, 472, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 426, 472, 724 is 2.

Therefore, GCD of numbers 600, 426, 472, 724 is 2

Given Input Data is 600, 426, 472, 724

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 724 is 2 x 2 x 181

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(600, 426) = 42600

GCD(600, 426) = ( 600 x 426 ) / 42600

GCD(600, 426) = 255600 / 42600

GCD(600, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 472

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

LCM(6, 472) = 1416

GCD(6, 472) = ( 6 x 472 ) / 1416

GCD(6, 472) = 2832 / 1416

GCD(6, 472) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 600, 426, 472, 724 is 2

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• GCD of 370, 317, 548, 320
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• GCD of 236, 112, 574, 997

1. What is the GCD of 600, 426, 472, 724?

GCD of 600, 426, 472, 724 is 2

2. Where do I get the detailed procedure to find GCD of 600, 426, 472, 724?

You can find a detailed procedure to find GCD of 600, 426, 472, 724 on our page.

3. How to find GCD of 600, 426, 472, 724 on a calculator?

You can find the GCD of 600, 426, 472, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.