GCD of 125, 111, 21, 136 Calculator

Given Input numbers are 125, 111, 21, 136

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 125, 111, 21, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 111, 21, 136 is 1.

Therefore, GCD of numbers 125, 111, 21, 136 is 1

Given Input Data is 125, 111, 21, 136

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 111 is 3 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(125, 111) = 13875

GCD(125, 111) = ( 125 x 111 ) / 13875

GCD(125, 111) = 13875 / 13875

GCD(125, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 125, 111, 21, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 261, 38, 239
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• GCD of 695, 814, 34, 446

1. What is the GCD of 125, 111, 21, 136?

GCD of 125, 111, 21, 136 is 1

2. Where do I get the detailed procedure to find GCD of 125, 111, 21, 136?

You can find a detailed procedure to find GCD of 125, 111, 21, 136 on our page.

3. How to find GCD of 125, 111, 21, 136 on a calculator?

You can find the GCD of 125, 111, 21, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.