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 315, 211, 408, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 211, 408, 876 is 1
GCD(315, 211, 408, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 211, 408, 876 is 1
GCD(315, 211, 408, 876) = 1
Given Input numbers are 315, 211, 408, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
Greatest Common Divisior
We found the divisors of 315, 211, 408, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 211, 408, 876 is 1.
Therefore, GCD of numbers 315, 211, 408, 876 is 1
Given Input Data is 315, 211, 408, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 211 is 211
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 876 is 2 x 2 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
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(315, 211) = 66465
GCD(315, 211) = ( 315 x 211 ) / 66465
GCD(315, 211) = 66465 / 66465
GCD(315, 211) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 315, 211, 408, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 211, 408, 876?
GCD of 315, 211, 408, 876 is 1
2. Where do I get the detailed procedure to find GCD of 315, 211, 408, 876?
You can find a detailed procedure to find GCD of 315, 211, 408, 876 on our page.
3. How to find GCD of 315, 211, 408, 876 on a calculator?
You can find the GCD of 315, 211, 408, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.