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GCD of 468, 861, 936, 627 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, 861, 936, 627 quickly. Get the easiest ways to solve the greatest common divisor of 468, 861, 936, 627 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 468, 861, 936, 627 with Factoring?

Given Input numbers are 468, 861, 936, 627

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627


GCD of numbers is the greatest common divisor

So, the GCD (468, 861, 936, 627) = 3.

Find GCD of 468, 861, 936, 627 using Prime Factorization

Given numbers are 468, 861, 936, 627

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 861 are 3 x 7 x 41

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 31

Therefore, GCD of 468, 861, 936, 627 is 3.

Steps to Calculate GCD of 468, 861, 936, 627 using LCM Formula

Given numbers are 468, 861, 936, 627

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

Apply this formula for all numbers.

Step1:

LCM(468, 861) = 134316

GCD(468, 861) = ( 468 x 861 ) / 134316

= 468 / 861

= 468


Step2:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3


Step3:

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

= 3 / 627

= 3


So, Greatest Common Divisor of 468, 861, 936, 627 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 468, 861, 936, 627

Given numbers are 468, 861, 936, 627
The greatest common divisor of numbers 468, 861, 936, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 861, 936, 627 is 3.

FAQs on GCD of 468, 861, 936, 627 Calculator

1. What is the GCD of 468, 861, 936, 627?

GCD of given numbers 468, 861, 936, 627 is 3


2. How to calculate the greatest common divisor of 468, 861, 936, 627?

We can find the highest common divisor of 468, 861, 936, 627 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, 861, 936, 627 i.e 3.


3. How can I use the GCD of 468, 861, 936, 627Calculator?

Out the numbers 468, 861, 936, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.