GCD of 538, 725, 544, 715 Calculator

Given Input numbers are 538, 725, 544, 715

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 538, 725, 544, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 725, 544, 715 is 1.

Therefore, GCD of numbers 538, 725, 544, 715 is 1

Given Input Data is 538, 725, 544, 715

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 715 is 5 x 11 x 13

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(538, 725) = 390050

GCD(538, 725) = ( 538 x 725 ) / 390050

GCD(538, 725) = 390050 / 390050

GCD(538, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 538, 725, 544, 715 is 1

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1. What is the GCD of 538, 725, 544, 715?

GCD of 538, 725, 544, 715 is 1

2. Where do I get the detailed procedure to find GCD of 538, 725, 544, 715?

You can find a detailed procedure to find GCD of 538, 725, 544, 715 on our page.

3. How to find GCD of 538, 725, 544, 715 on a calculator?

You can find the GCD of 538, 725, 544, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.