GCD of 102, 625, 36, 375 Calculator

Given Input numbers are 102, 625, 36, 375

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 102, 625, 36, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 625, 36, 375 is 1.

Therefore, GCD of numbers 102, 625, 36, 375 is 1

Given Input Data is 102, 625, 36, 375

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

Prime Factorization of 102 is 2 x 3 x 17

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 375 is 3 x 5 x 5 x 5

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(102, 625) = 63750

GCD(102, 625) = ( 102 x 625 ) / 63750

GCD(102, 625) = 63750 / 63750

GCD(102, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 102, 625, 36, 375 is 1

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1. What is the GCD of 102, 625, 36, 375?

GCD of 102, 625, 36, 375 is 1

2. Where do I get the detailed procedure to find GCD of 102, 625, 36, 375?

You can find a detailed procedure to find GCD of 102, 625, 36, 375 on our page.

3. How to find GCD of 102, 625, 36, 375 on a calculator?

You can find the GCD of 102, 625, 36, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.