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GCD of 718, 832, 254, 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 718, 832, 254, 138 quickly. Get the easiest ways to solve the greatest common divisor of 718, 832, 254, 138 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 718, 832, 254, 138 with Factoring?

Given Input numbers are 718, 832, 254, 138

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

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 (718, 832, 254, 138) = 2.

Find GCD of 718, 832, 254, 138 using Prime Factorization

Given numbers are 718, 832, 254, 138

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 254 are 2 x 127

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 21

Therefore, GCD of 718, 832, 254, 138 is 2.

Steps to Calculate GCD of 718, 832, 254, 138 using LCM Formula

Given numbers are 718, 832, 254, 138

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

Apply this formula for all numbers.

Step1:

LCM(718, 832) = 298688

GCD(718, 832) = ( 718 x 832 ) / 298688

= 718 / 832

= 718


Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2


Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2


So, Greatest Common Divisor of 718, 832, 254, 138 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 718, 832, 254, 138

Given numbers are 718, 832, 254, 138
The greatest common divisor of numbers 718, 832, 254, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 832, 254, 138 is 2.

FAQs on GCD of 718, 832, 254, 138 Calculator

1. What is the GCD of 718, 832, 254, 138?

GCD of given numbers 718, 832, 254, 138 is 2


2. How to calculate the greatest common divisor of 718, 832, 254, 138?

We can find the highest common divisor of 718, 832, 254, 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 718, 832, 254, 138 i.e 2.


3. How can I use the GCD of 718, 832, 254, 138Calculator?

Out the numbers 718, 832, 254, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.