GCD of 524, 722, 955, 731 Calculator

Given Input numbers are 524, 722, 955, 731

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 524, 722, 955, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 722, 955, 731 is 1.

Therefore, GCD of numbers 524, 722, 955, 731 is 1

Given Input Data is 524, 722, 955, 731

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 955 is 5 x 191

Prime Factorization of 731 is 17 x 43

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(524, 722) = 189164

GCD(524, 722) = ( 524 x 722 ) / 189164

GCD(524, 722) = 378328 / 189164

GCD(524, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 524, 722, 955, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 580, 199, 888
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1. What is the GCD of 524, 722, 955, 731?

GCD of 524, 722, 955, 731 is 1

2. Where do I get the detailed procedure to find GCD of 524, 722, 955, 731?

You can find a detailed procedure to find GCD of 524, 722, 955, 731 on our page.

3. How to find GCD of 524, 722, 955, 731 on a calculator?

You can find the GCD of 524, 722, 955, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.