GCD of 663, 724, 90, 456 Calculator

Given Input numbers are 663, 724, 90, 456

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 663, 724, 90, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 724, 90, 456 is 1.

Therefore, GCD of numbers 663, 724, 90, 456 is 1

Given Input Data is 663, 724, 90, 456

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(663, 724) = 480012

GCD(663, 724) = ( 663 x 724 ) / 480012

GCD(663, 724) = 480012 / 480012

GCD(663, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 663, 724, 90, 456 is 1

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• GCD of 105, 508, 90, 127
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1. What is the GCD of 663, 724, 90, 456?

GCD of 663, 724, 90, 456 is 1

2. Where do I get the detailed procedure to find GCD of 663, 724, 90, 456?

You can find a detailed procedure to find GCD of 663, 724, 90, 456 on our page.

3. How to find GCD of 663, 724, 90, 456 on a calculator?

You can find the GCD of 663, 724, 90, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.