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GCD of 468, 864, 630, 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 468, 864, 630, 316 quickly. Get the easiest ways to solve the greatest common divisor of 468, 864, 630, 316 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 468, 864, 630, 316 with Factoring?

Given Input numbers are 468, 864, 630, 316

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 (468, 864, 630, 316) = 2.

Find GCD of 468, 864, 630, 316 using Prime Factorization

Given numbers are 468, 864, 630, 316

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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 21

Therefore, GCD of 468, 864, 630, 316 is 2.

Steps to Calculate GCD of 468, 864, 630, 316 using LCM Formula

Given numbers are 468, 864, 630, 316

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

Apply this formula for all numbers.

Step1:

LCM(468, 864) = 11232

GCD(468, 864) = ( 468 x 864 ) / 11232

= 468 / 864

= 468


Step2:

LCM(36, 630) = 1260

GCD(36, 630) = ( 36 x 630 ) / 1260

= 36 / 630

= 36


Step3:

LCM(18, 316) = 2844

GCD(18, 316) = ( 18 x 316 ) / 2844

= 18 / 316

= 18


So, Greatest Common Divisor of 468, 864, 630, 316 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 468, 864, 630, 316

Given numbers are 468, 864, 630, 316
The greatest common divisor of numbers 468, 864, 630, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 864, 630, 316 is 2.

FAQs on GCD of 468, 864, 630, 316 Calculator

1. What is the GCD of 468, 864, 630, 316?

GCD of given numbers 468, 864, 630, 316 is 2


2. How to calculate the greatest common divisor of 468, 864, 630, 316?

We can find the highest common divisor of 468, 864, 630, 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 468, 864, 630, 316 i.e 2.


3. How can I use the GCD of 468, 864, 630, 316Calculator?

Out the numbers 468, 864, 630, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.