GCD of 858, 375, 36, 891 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 858, 375, 36, 891 i.e. 3 largest integer that divides all the numbers equally.

GCD of 858, 375, 36, 891 is 3

GCD(858, 375, 36, 891) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 858, 375, 36, 891 is 3

GCD(858, 375, 36, 891) = 3

GCD of 858,375,36,891 Calculator

GCDof 858,375,36,891 is 3

Given Input numbers are 858, 375, 36, 891

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 858, 375, 36, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 375, 36, 891 is 3.

Therefore, GCD of numbers 858, 375, 36, 891 is 3

Finding GCD of 858, 375, 36, 891 using Prime Factorization

Given Input Data is 858, 375, 36, 891

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 858, 375, 36, 891 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(858, 375) = 107250

GCD(858, 375) = ( 858 x 375 ) / 107250

GCD(858, 375) = 321750 / 107250

GCD(858, 375) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 891

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

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

GCD(3, 891) = 2673 / 891

GCD(3, 891) = 3

GCD of 858, 375, 36, 891 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 858, 375, 36, 891

1. What is the GCD of 858, 375, 36, 891?

GCD of 858, 375, 36, 891 is 3


2. Where do I get the detailed procedure to find GCD of 858, 375, 36, 891?

You can find a detailed procedure to find GCD of 858, 375, 36, 891 on our page.


3. How to find GCD of 858, 375, 36, 891 on a calculator?

You can find the GCD of 858, 375, 36, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.