GCD of 724, 664, 58, 653 Calculator

Given Input numbers are 724, 664, 58, 653

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 724, 664, 58, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 664, 58, 653 is 1.

Therefore, GCD of numbers 724, 664, 58, 653 is 1

Given Input Data is 724, 664, 58, 653

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 58 is 2 x 29

Prime Factorization of 653 is 653

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(724, 664) = 120184

GCD(724, 664) = ( 724 x 664 ) / 120184

GCD(724, 664) = 480736 / 120184

GCD(724, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

GCD of 724, 664, 58, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 169, 20, 270
• GCD of 221, 199, 79, 871
• GCD of 768, 420, 59, 454
• GCD of 317, 344, 44, 810
• GCD of 547, 788, 79, 136

1. What is the GCD of 724, 664, 58, 653?

GCD of 724, 664, 58, 653 is 1

2. Where do I get the detailed procedure to find GCD of 724, 664, 58, 653?

You can find a detailed procedure to find GCD of 724, 664, 58, 653 on our page.

3. How to find GCD of 724, 664, 58, 653 on a calculator?

You can find the GCD of 724, 664, 58, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.