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GCD of 392, 908, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 392, 908, 164 quickly. Get the easiest ways to solve the greatest common divisor of 392, 908, 164 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 392, 908, 164 with Factoring?

Given Input numbers are 392, 908, 164

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (392, 908, 164) = 4.

Find GCD of 392, 908, 164 using Prime Factorization

Given numbers are 392, 908, 164

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 908 are 2 x 2 x 227

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 22

Therefore, GCD of 392, 908, 164 is 4.

Steps to Calculate GCD of 392, 908, 164 using LCM Formula

Given numbers are 392, 908, 164

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

Apply this formula for all numbers.

Step1:

LCM(392, 908) = 88984

GCD(392, 908) = ( 392 x 908 ) / 88984

= 392 / 908

= 392


Step2:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4


So, Greatest Common Divisor of 392, 908, 164 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 392, 908, 164

Given numbers are 392, 908, 164
The greatest common divisor of numbers 392, 908, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 908, 164 is 4.

FAQs on GCD of 392, 908, 164 Calculator

1. What is the GCD of 392, 908, 164?

GCD of given numbers 392, 908, 164 is 4


2. How to calculate the greatest common divisor of 392, 908, 164?

We can find the highest common divisor of 392, 908, 164 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 392, 908, 164 i.e 4.


3. How can I use the GCD of 392, 908, 164Calculator?

Out the numbers 392, 908, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.