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 213, 876, 90 i.e. 3 largest integer that divides all the numbers equally.
GCD of 213, 876, 90 is 3
GCD(213, 876, 90) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 876, 90 is 3
GCD(213, 876, 90) = 3
Given Input numbers are 213, 876, 90
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest Common Divisior
We found the divisors of 213, 876, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 876, 90 is 3.
Therefore, GCD of numbers 213, 876, 90 is 3
Given Input Data is 213, 876, 90
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 90 is 2 x 3 x 3 x 5
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(213, 876) = 62196
GCD(213, 876) = ( 213 x 876 ) / 62196
GCD(213, 876) = 186588 / 62196
GCD(213, 876) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
GCD(3, 90) = 270 / 90
GCD(3, 90) = 3
GCD of 213, 876, 90 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 876, 90?
GCD of 213, 876, 90 is 3
2. Where do I get the detailed procedure to find GCD of 213, 876, 90?
You can find a detailed procedure to find GCD of 213, 876, 90 on our page.
3. How to find GCD of 213, 876, 90 on a calculator?
You can find the GCD of 213, 876, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.