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 876, 240, 20, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 240, 20, 837 is 1
GCD(876, 240, 20, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 240, 20, 837 is 1
GCD(876, 240, 20, 837) = 1
Given Input numbers are 876, 240, 20, 837
To find the GCD of numbers using factoring list out all the divisors of each number
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 876, 240, 20, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 240, 20, 837 is 1.
Therefore, GCD of numbers 876, 240, 20, 837 is 1
Given Input Data is 876, 240, 20, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(876, 240) = 17520
GCD(876, 240) = ( 876 x 240 ) / 17520
GCD(876, 240) = 210240 / 17520
GCD(876, 240) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 20) = 60
GCD(12, 20) = ( 12 x 20 ) / 60
GCD(12, 20) = 240 / 60
GCD(12, 20) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 837) = 3348
GCD(4, 837) = ( 4 x 837 ) / 3348
GCD(4, 837) = 3348 / 3348
GCD(4, 837) = 1
GCD of 876, 240, 20, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 240, 20, 837?
GCD of 876, 240, 20, 837 is 1
2. Where do I get the detailed procedure to find GCD of 876, 240, 20, 837?
You can find a detailed procedure to find GCD of 876, 240, 20, 837 on our page.
3. How to find GCD of 876, 240, 20, 837 on a calculator?
You can find the GCD of 876, 240, 20, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.