GCD of 875, 555, 21, 138 Calculator

Given Input numbers are 875, 555, 21, 138

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 21

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

1, 3, 7, 21

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 875, 555, 21, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 555, 21, 138 is 1.

Therefore, GCD of numbers 875, 555, 21, 138 is 1

Given Input Data is 875, 555, 21, 138

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 138 is 2 x 3 x 23

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(875, 555) = 97125

GCD(875, 555) = ( 875 x 555 ) / 97125

GCD(875, 555) = 485625 / 97125

GCD(875, 555) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 21

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

LCM(5, 21) = 105

GCD(5, 21) = ( 5 x 21 ) / 105

GCD(5, 21) = 105 / 105

GCD(5, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 875, 555, 21, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 994, 44, 773
• GCD of 286, 314, 74, 382
• GCD of 251, 734, 43, 114
• GCD of 405, 277, 42, 893
• GCD of 443, 492, 22, 451

1. What is the GCD of 875, 555, 21, 138?

GCD of 875, 555, 21, 138 is 1

2. Where do I get the detailed procedure to find GCD of 875, 555, 21, 138?

You can find a detailed procedure to find GCD of 875, 555, 21, 138 on our page.

3. How to find GCD of 875, 555, 21, 138 on a calculator?

You can find the GCD of 875, 555, 21, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.