GCD of 659, 138, 754 Calculator

Given Input numbers are 659, 138, 754

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 659, 138, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 138, 754 is 1.

Therefore, GCD of numbers 659, 138, 754 is 1

Given Input Data is 659, 138, 754

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

Prime Factorization of 659 is 659

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 754 is 2 x 13 x 29

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(659, 138) = 90942

GCD(659, 138) = ( 659 x 138 ) / 90942

GCD(659, 138) = 90942 / 90942

GCD(659, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 659, 138, 754 is 1

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1. What is the GCD of 659, 138, 754?

GCD of 659, 138, 754 is 1

2. Where do I get the detailed procedure to find GCD of 659, 138, 754?

You can find a detailed procedure to find GCD of 659, 138, 754 on our page.

3. How to find GCD of 659, 138, 754 on a calculator?

You can find the GCD of 659, 138, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.