GCD of 375, 138, 507 Calculator

Given Input numbers are 375, 138, 507

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

Divisors of 375

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

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

Divisors of 138

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

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 375, 138, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 138, 507 is 3.

Therefore, GCD of numbers 375, 138, 507 is 3

Given Input Data is 375, 138, 507

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

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 507 is 3 x 13 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(375, 138) = 17250

GCD(375, 138) = ( 375 x 138 ) / 17250

GCD(375, 138) = 51750 / 17250

GCD(375, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

GCD of 375, 138, 507 is 3

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1. What is the GCD of 375, 138, 507?

GCD of 375, 138, 507 is 3

2. Where do I get the detailed procedure to find GCD of 375, 138, 507?

You can find a detailed procedure to find GCD of 375, 138, 507 on our page.

3. How to find GCD of 375, 138, 507 on a calculator?

You can find the GCD of 375, 138, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.