GCD of 625, 115, 147, 588 Calculator

Given Input numbers are 625, 115, 147, 588

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 625, 115, 147, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 115, 147, 588 is 1.

Therefore, GCD of numbers 625, 115, 147, 588 is 1

Given Input Data is 625, 115, 147, 588

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 115 is 5 x 23

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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, 115) = 14375

GCD(625, 115) = ( 625 x 115 ) / 14375

GCD(625, 115) = 71875 / 14375

GCD(625, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 147

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

LCM(5, 147) = 735

GCD(5, 147) = ( 5 x 147 ) / 735

GCD(5, 147) = 735 / 735

GCD(5, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 625, 115, 147, 588 is 1

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1. What is the GCD of 625, 115, 147, 588?

GCD of 625, 115, 147, 588 is 1

2. Where do I get the detailed procedure to find GCD of 625, 115, 147, 588?

You can find a detailed procedure to find GCD of 625, 115, 147, 588 on our page.

3. How to find GCD of 625, 115, 147, 588 on a calculator?

You can find the GCD of 625, 115, 147, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.