GCD of 625, 369, 538 Calculator

Given Input numbers are 625, 369, 538

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 625, 369, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 369, 538 is 1.

Therefore, GCD of numbers 625, 369, 538 is 1

Given Input Data is 625, 369, 538

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 538 is 2 x 269

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(625, 369) = 230625

GCD(625, 369) = ( 625 x 369 ) / 230625

GCD(625, 369) = 230625 / 230625

GCD(625, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 625, 369, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 342, 763
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1. What is the GCD of 625, 369, 538?

GCD of 625, 369, 538 is 1

2. Where do I get the detailed procedure to find GCD of 625, 369, 538?

You can find a detailed procedure to find GCD of 625, 369, 538 on our page.

3. How to find GCD of 625, 369, 538 on a calculator?

You can find the GCD of 625, 369, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.