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 795, 857, 12, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 857, 12, 980 is 1
GCD(795, 857, 12, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 857, 12, 980 is 1
GCD(795, 857, 12, 980) = 1
Given Input numbers are 795, 857, 12, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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 795, 857, 12, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 857, 12, 980 is 1.
Therefore, GCD of numbers 795, 857, 12, 980 is 1
Given Input Data is 795, 857, 12, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 857 is 857
Prime Factorization of 12 is 2 x 2 x 3
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(795, 857) = 681315
GCD(795, 857) = ( 795 x 857 ) / 681315
GCD(795, 857) = 681315 / 681315
GCD(795, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 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 795, 857, 12, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 857, 12, 980?
GCD of 795, 857, 12, 980 is 1
2. Where do I get the detailed procedure to find GCD of 795, 857, 12, 980?
You can find a detailed procedure to find GCD of 795, 857, 12, 980 on our page.
3. How to find GCD of 795, 857, 12, 980 on a calculator?
You can find the GCD of 795, 857, 12, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.