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 521, 854, 22, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 854, 22, 965 is 1
GCD(521, 854, 22, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 854, 22, 965 is 1
GCD(521, 854, 22, 965) = 1
Given Input numbers are 521, 854, 22, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 521, 854, 22, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 854, 22, 965 is 1.
Therefore, GCD of numbers 521, 854, 22, 965 is 1
Given Input Data is 521, 854, 22, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 22 is 2 x 11
Prime Factorization of 965 is 5 x 193
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(521, 854) = 444934
GCD(521, 854) = ( 521 x 854 ) / 444934
GCD(521, 854) = 444934 / 444934
GCD(521, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 521, 854, 22, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 854, 22, 965?
GCD of 521, 854, 22, 965 is 1
2. Where do I get the detailed procedure to find GCD of 521, 854, 22, 965?
You can find a detailed procedure to find GCD of 521, 854, 22, 965 on our page.
3. How to find GCD of 521, 854, 22, 965 on a calculator?
You can find the GCD of 521, 854, 22, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.