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GCD of 136, 122, 426, 310 Calculator

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


Online GCD Calculator is useful to find the GCD of 136, 122, 426, 310 quickly. Get the easiest ways to solve the greatest common divisor of 136, 122, 426, 310 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 136, 122, 426, 310 with Factoring?

Given Input numbers are 136, 122, 426, 310

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310


GCD of numbers is the greatest common divisor

So, the GCD (136, 122, 426, 310) = 2.

Find GCD of 136, 122, 426, 310 using Prime Factorization

Given numbers are 136, 122, 426, 310

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 122 are 2 x 61

Prime factors of 426 are 2 x 3 x 71

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 21

Therefore, GCD of 136, 122, 426, 310 is 2.

Steps to Calculate GCD of 136, 122, 426, 310 using LCM Formula

Given numbers are 136, 122, 426, 310

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

Apply this formula for all numbers.

Step1:

LCM(136, 122) = 8296

GCD(136, 122) = ( 136 x 122 ) / 8296

= 136 / 122

= 136


Step2:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2


Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2


So, Greatest Common Divisor of 136, 122, 426, 310 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 136, 122, 426, 310

Given numbers are 136, 122, 426, 310
The greatest common divisor of numbers 136, 122, 426, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 122, 426, 310 is 2.

FAQs on GCD of 136, 122, 426, 310 Calculator

1. What is the GCD of 136, 122, 426, 310?

GCD of given numbers 136, 122, 426, 310 is 2


2. How to calculate the greatest common divisor of 136, 122, 426, 310?

We can find the highest common divisor of 136, 122, 426, 310 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 136, 122, 426, 310 i.e 2.


3. How can I use the GCD of 136, 122, 426, 310Calculator?

Out the numbers 136, 122, 426, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.