GCD of 724, 906, 13, 674 Calculator

Given Input numbers are 724, 906, 13, 674

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 724, 906, 13, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 906, 13, 674 is 1.

Therefore, GCD of numbers 724, 906, 13, 674 is 1

Given Input Data is 724, 906, 13, 674

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 906 is 2 x 3 x 151

Prime Factorization of 13 is 13

Prime Factorization of 674 is 2 x 337

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, 906) = 327972

GCD(724, 906) = ( 724 x 906 ) / 327972

GCD(724, 906) = 655944 / 327972

GCD(724, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 724, 906, 13, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 366, 40, 643
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• GCD of 356, 953, 92, 132

1. What is the GCD of 724, 906, 13, 674?

GCD of 724, 906, 13, 674 is 1

2. Where do I get the detailed procedure to find GCD of 724, 906, 13, 674?

You can find a detailed procedure to find GCD of 724, 906, 13, 674 on our page.

3. How to find GCD of 724, 906, 13, 674 on a calculator?

You can find the GCD of 724, 906, 13, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.