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GCD of 468, 126, 978, 388 Calculator

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


Online GCD Calculator is useful to find the GCD of 468, 126, 978, 388 quickly. Get the easiest ways to solve the greatest common divisor of 468, 126, 978, 388 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 468, 126, 978, 388 with Factoring?

Given Input numbers are 468, 126, 978, 388

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388


GCD of numbers is the greatest common divisor

So, the GCD (468, 126, 978, 388) = 2.

Find GCD of 468, 126, 978, 388 using Prime Factorization

Given numbers are 468, 126, 978, 388

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 978 are 2 x 3 x 163

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 21

Therefore, GCD of 468, 126, 978, 388 is 2.

Steps to Calculate GCD of 468, 126, 978, 388 using LCM Formula

Given numbers are 468, 126, 978, 388

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

Apply this formula for all numbers.

Step1:

LCM(468, 126) = 3276

GCD(468, 126) = ( 468 x 126 ) / 3276

= 468 / 126

= 468


Step2:

LCM(18, 978) = 2934

GCD(18, 978) = ( 18 x 978 ) / 2934

= 18 / 978

= 18


Step3:

LCM(6, 388) = 1164

GCD(6, 388) = ( 6 x 388 ) / 1164

= 6 / 388

= 6


So, Greatest Common Divisor of 468, 126, 978, 388 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 468, 126, 978, 388

Given numbers are 468, 126, 978, 388
The greatest common divisor of numbers 468, 126, 978, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 126, 978, 388 is 2.

FAQs on GCD of 468, 126, 978, 388 Calculator

1. What is the GCD of 468, 126, 978, 388?

GCD of given numbers 468, 126, 978, 388 is 2


2. How to calculate the greatest common divisor of 468, 126, 978, 388?

We can find the highest common divisor of 468, 126, 978, 388 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 468, 126, 978, 388 i.e 2.


3. How can I use the GCD of 468, 126, 978, 388Calculator?

Out the numbers 468, 126, 978, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.