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GCD of 164, 228, 378, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 164, 228, 378, 117 quickly. Get the easiest ways to solve the greatest common divisor of 164, 228, 378, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 164, 228, 378, 117 with Factoring?

Given Input numbers are 164, 228, 378, 117

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

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (164, 228, 378, 117) = 1.

Find GCD of 164, 228, 378, 117 using Prime Factorization

Given numbers are 164, 228, 378, 117

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 164, 228, 378, 117 using LCM Formula

Given numbers are 164, 228, 378, 117

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

Apply this formula for all numbers.

Step1:

LCM(164, 228) = 9348

GCD(164, 228) = ( 164 x 228 ) / 9348

= 164 / 228

= 164


Step2:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4


Step3:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2


So, Greatest Common Divisor of 164, 228, 378, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 164, 228, 378, 117

Given numbers are 164, 228, 378, 117
The greatest common divisor of numbers 164, 228, 378, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 228, 378, 117 is 1.

FAQs on GCD of 164, 228, 378, 117 Calculator

1. What is the GCD of 164, 228, 378, 117?

GCD of given numbers 164, 228, 378, 117 is 1


2. How to calculate the greatest common divisor of 164, 228, 378, 117?

We can find the highest common divisor of 164, 228, 378, 117 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 164, 228, 378, 117 i.e 1.


3. How can I use the GCD of 164, 228, 378, 117Calculator?

Out the numbers 164, 228, 378, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.