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GCD of 849, 908, 123, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 849, 908, 123, 138 quickly. Get the easiest ways to solve the greatest common divisor of 849, 908, 123, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 849, 908, 123, 138 with Factoring?

Given Input numbers are 849, 908, 123, 138

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 138 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (849, 908, 123, 138) = 1.

Find GCD of 849, 908, 123, 138 using Prime Factorization

Given numbers are 849, 908, 123, 138

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 908 are 2 x 2 x 227

Prime factors of 123 are 3 x 41

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 849, 908, 123, 138 using LCM Formula

Given numbers are 849, 908, 123, 138

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

Apply this formula for all numbers.

Step1:

LCM(849, 908) = 770892

GCD(849, 908) = ( 849 x 908 ) / 770892

= 849 / 908

= 849


Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1


Step3:

LCM(1, 138) = 138

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

= 1 / 138

= 1


So, Greatest Common Divisor of 849, 908, 123, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 849, 908, 123, 138

Given numbers are 849, 908, 123, 138
The greatest common divisor of numbers 849, 908, 123, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 908, 123, 138 is 1.

FAQs on GCD of 849, 908, 123, 138 Calculator

1. What is the GCD of 849, 908, 123, 138?

GCD of given numbers 849, 908, 123, 138 is 1


2. How to calculate the greatest common divisor of 849, 908, 123, 138?

We can find the highest common divisor of 849, 908, 123, 138 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 849, 908, 123, 138 i.e 1.


3. How can I use the GCD of 849, 908, 123, 138Calculator?

Out the numbers 849, 908, 123, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.