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GCD of 166, 138, 422, 316 Calculator

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


Online GCD Calculator is useful to find the GCD of 166, 138, 422, 316 quickly. Get the easiest ways to solve the greatest common divisor of 166, 138, 422, 316 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 166, 138, 422, 316 with Factoring?

Given Input numbers are 166, 138, 422, 316

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

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 138 :

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

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (166, 138, 422, 316) = 2.

Find GCD of 166, 138, 422, 316 using Prime Factorization

Given numbers are 166, 138, 422, 316

The list of prime factors of all numbers are

Prime factors of 166 are 2 x 83

Prime factors of 138 are 2 x 3 x 23

Prime factors of 422 are 2 x 211

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 21

Therefore, GCD of 166, 138, 422, 316 is 2.

Steps to Calculate GCD of 166, 138, 422, 316 using LCM Formula

Given numbers are 166, 138, 422, 316

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

Apply this formula for all numbers.

Step1:

LCM(166, 138) = 11454

GCD(166, 138) = ( 166 x 138 ) / 11454

= 166 / 138

= 166


Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2


Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2


So, Greatest Common Divisor of 166, 138, 422, 316 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 166, 138, 422, 316

Given numbers are 166, 138, 422, 316
The greatest common divisor of numbers 166, 138, 422, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 138, 422, 316 is 2.

FAQs on GCD of 166, 138, 422, 316 Calculator

1. What is the GCD of 166, 138, 422, 316?

GCD of given numbers 166, 138, 422, 316 is 2


2. How to calculate the greatest common divisor of 166, 138, 422, 316?

We can find the highest common divisor of 166, 138, 422, 316 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 166, 138, 422, 316 i.e 2.


3. How can I use the GCD of 166, 138, 422, 316Calculator?

Out the numbers 166, 138, 422, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.