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GCD of 108, 886, 780 Calculator

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


Online GCD Calculator is useful to find the GCD of 108, 886, 780 quickly. Get the easiest ways to solve the greatest common divisor of 108, 886, 780 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 886, 780 with Factoring?

Given Input numbers are 108, 886, 780

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780


GCD of numbers is the greatest common divisor

So, the GCD (108, 886, 780) = 2.

Find GCD of 108, 886, 780 using Prime Factorization

Given numbers are 108, 886, 780

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 886 are 2 x 443

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 108, 886, 780 is 2.

Steps to Calculate GCD of 108, 886, 780 using LCM Formula

Given numbers are 108, 886, 780

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

Apply this formula for all numbers.

Step1:

LCM(108, 886) = 47844

GCD(108, 886) = ( 108 x 886 ) / 47844

= 108 / 886

= 108


Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2


So, Greatest Common Divisor of 108, 886, 780 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 886, 780

Given numbers are 108, 886, 780
The greatest common divisor of numbers 108, 886, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 886, 780 is 2.

FAQs on GCD of 108, 886, 780 Calculator

1. What is the GCD of 108, 886, 780?

GCD of given numbers 108, 886, 780 is 2


2. How to calculate the greatest common divisor of 108, 886, 780?

We can find the highest common divisor of 108, 886, 780 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 108, 886, 780 i.e 2.


3. How can I use the GCD of 108, 886, 780Calculator?

Out the numbers 108, 886, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.