GCD of 135, 138, 375, 681 Calculator

Given Input numbers are 135, 138, 375, 681

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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 375

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

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 135, 138, 375, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 138, 375, 681 is 3.

Therefore, GCD of numbers 135, 138, 375, 681 is 3

Given Input Data is 135, 138, 375, 681

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 138 is 2 x 3 x 23

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

Prime Factorization of 681 is 3 x 227

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(135, 138) = 6210

GCD(135, 138) = ( 135 x 138 ) / 6210

GCD(135, 138) = 18630 / 6210

GCD(135, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 375

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

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

GCD(3, 375) = 1125 / 375

GCD(3, 375) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

GCD of 135, 138, 375, 681 is 3

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1. What is the GCD of 135, 138, 375, 681?

GCD of 135, 138, 375, 681 is 3

2. Where do I get the detailed procedure to find GCD of 135, 138, 375, 681?

You can find a detailed procedure to find GCD of 135, 138, 375, 681 on our page.

3. How to find GCD of 135, 138, 375, 681 on a calculator?

You can find the GCD of 135, 138, 375, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.