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GCD of 486, 120, 868, 186 Calculator

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


Online GCD Calculator is useful to find the GCD of 486, 120, 868, 186 quickly. Get the easiest ways to solve the greatest common divisor of 486, 120, 868, 186 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 486, 120, 868, 186 with Factoring?

Given Input numbers are 486, 120, 868, 186

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186


GCD of numbers is the greatest common divisor

So, the GCD (486, 120, 868, 186) = 2.

Find GCD of 486, 120, 868, 186 using Prime Factorization

Given numbers are 486, 120, 868, 186

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 21

Therefore, GCD of 486, 120, 868, 186 is 2.

Steps to Calculate GCD of 486, 120, 868, 186 using LCM Formula

Given numbers are 486, 120, 868, 186

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

Apply this formula for all numbers.

Step1:

LCM(486, 120) = 9720

GCD(486, 120) = ( 486 x 120 ) / 9720

= 486 / 120

= 486


Step2:

LCM(6, 868) = 2604

GCD(6, 868) = ( 6 x 868 ) / 2604

= 6 / 868

= 6


Step3:

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

= 2 / 186

= 2


So, Greatest Common Divisor of 486, 120, 868, 186 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 486, 120, 868, 186

Given numbers are 486, 120, 868, 186
The greatest common divisor of numbers 486, 120, 868, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 120, 868, 186 is 2.

FAQs on GCD of 486, 120, 868, 186 Calculator

1. What is the GCD of 486, 120, 868, 186?

GCD of given numbers 486, 120, 868, 186 is 2


2. How to calculate the greatest common divisor of 486, 120, 868, 186?

We can find the highest common divisor of 486, 120, 868, 186 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 486, 120, 868, 186 i.e 2.


3. How can I use the GCD of 486, 120, 868, 186Calculator?

Out the numbers 486, 120, 868, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.