GCD of 724, 856, 758, 665 Calculator

Given Input numbers are 724, 856, 758, 665

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 724, 856, 758, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 856, 758, 665 is 1.

Therefore, GCD of numbers 724, 856, 758, 665 is 1

Given Input Data is 724, 856, 758, 665

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 856 is 2 x 2 x 2 x 107

Prime Factorization of 758 is 2 x 379

Prime Factorization of 665 is 5 x 7 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(724, 856) = 154936

GCD(724, 856) = ( 724 x 856 ) / 154936

GCD(724, 856) = 619744 / 154936

GCD(724, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 758

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

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

GCD(4, 758) = 3032 / 1516

GCD(4, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

GCD of 724, 856, 758, 665 is 1

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1. What is the GCD of 724, 856, 758, 665?

GCD of 724, 856, 758, 665 is 1

2. Where do I get the detailed procedure to find GCD of 724, 856, 758, 665?

You can find a detailed procedure to find GCD of 724, 856, 758, 665 on our page.

3. How to find GCD of 724, 856, 758, 665 on a calculator?

You can find the GCD of 724, 856, 758, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.