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GCD of 858, 990, 567, 366 Calculator

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


Online GCD Calculator is useful to find the GCD of 858, 990, 567, 366 quickly. Get the easiest ways to solve the greatest common divisor of 858, 990, 567, 366 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 858, 990, 567, 366 with Factoring?

Given Input numbers are 858, 990, 567, 366

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366


GCD of numbers is the greatest common divisor

So, the GCD (858, 990, 567, 366) = 3.

Find GCD of 858, 990, 567, 366 using Prime Factorization

Given numbers are 858, 990, 567, 366

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 31

Therefore, GCD of 858, 990, 567, 366 is 3.

Steps to Calculate GCD of 858, 990, 567, 366 using LCM Formula

Given numbers are 858, 990, 567, 366

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

Apply this formula for all numbers.

Step1:

LCM(858, 990) = 12870

GCD(858, 990) = ( 858 x 990 ) / 12870

= 858 / 990

= 858


Step2:

LCM(66, 567) = 12474

GCD(66, 567) = ( 66 x 567 ) / 12474

= 66 / 567

= 66


Step3:

LCM(3, 366) = 366

GCD(3, 366) = ( 3 x 366 ) / 366

= 3 / 366

= 3


So, Greatest Common Divisor of 858, 990, 567, 366 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 858, 990, 567, 366

Given numbers are 858, 990, 567, 366
The greatest common divisor of numbers 858, 990, 567, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 990, 567, 366 is 3.

FAQs on GCD of 858, 990, 567, 366 Calculator

1. What is the GCD of 858, 990, 567, 366?

GCD of given numbers 858, 990, 567, 366 is 3


2. How to calculate the greatest common divisor of 858, 990, 567, 366?

We can find the highest common divisor of 858, 990, 567, 366 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 858, 990, 567, 366 i.e 3.


3. How can I use the GCD of 858, 990, 567, 366Calculator?

Out the numbers 858, 990, 567, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.