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 861, 876, 56, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 876, 56, 980 is 1
GCD(861, 876, 56, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 876, 56, 980 is 1
GCD(861, 876, 56, 980) = 1
Given Input numbers are 861, 876, 56, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
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 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 861, 876, 56, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 876, 56, 980 is 1.
Therefore, GCD of numbers 861, 876, 56, 980 is 1
Given Input Data is 861, 876, 56, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(861, 876) = 251412
GCD(861, 876) = ( 861 x 876 ) / 251412
GCD(861, 876) = 754236 / 251412
GCD(861, 876) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 56) = 168
GCD(3, 56) = ( 3 x 56 ) / 168
GCD(3, 56) = 168 / 168
GCD(3, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 861, 876, 56, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 876, 56, 980?
GCD of 861, 876, 56, 980 is 1
2. Where do I get the detailed procedure to find GCD of 861, 876, 56, 980?
You can find a detailed procedure to find GCD of 861, 876, 56, 980 on our page.
3. How to find GCD of 861, 876, 56, 980 on a calculator?
You can find the GCD of 861, 876, 56, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.