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GCD of 138, 371, 679, 634 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 138, 371, 679, 634 quickly. Get the easiest ways to solve the greatest common divisor of 138, 371, 679, 634 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 371, 679, 634 with Factoring?

Given Input numbers are 138, 371, 679, 634

In the factoring method, we have to find the divisors of all numbers

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

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

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634


GCD of numbers is the greatest common divisor

So, the GCD (138, 371, 679, 634) = 1.

Find GCD of 138, 371, 679, 634 using Prime Factorization

Given numbers are 138, 371, 679, 634

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 371 are 7 x 53

Prime factors of 679 are 7 x 97

Prime factors of 634 are 2 x 317

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 138, 371, 679, 634 using LCM Formula

Given numbers are 138, 371, 679, 634

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(138, 371) = 51198

GCD(138, 371) = ( 138 x 371 ) / 51198

= 138 / 371

= 138


Step2:

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

= 1 / 679

= 1


Step3:

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

= 1 / 634

= 1


So, Greatest Common Divisor of 138, 371, 679, 634 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 371, 679, 634

Given numbers are 138, 371, 679, 634
The greatest common divisor of numbers 138, 371, 679, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 371, 679, 634 is 1.

FAQs on GCD of 138, 371, 679, 634 Calculator

1. What is the GCD of 138, 371, 679, 634?

GCD of given numbers 138, 371, 679, 634 is 1


2. How to calculate the greatest common divisor of 138, 371, 679, 634?

We can find the highest common divisor of 138, 371, 679, 634 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 138, 371, 679, 634 i.e 1.


3. How can I use the GCD of 138, 371, 679, 634Calculator?

Out the numbers 138, 371, 679, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.