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 numbers 858, 375, 36, 891 is 3
GCD(858, 375, 36, 891) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.