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 916, 969, 13, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 969, 13, 837 is 1
GCD(916, 969, 13, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 969, 13, 837 is 1
GCD(916, 969, 13, 837) = 1
Given Input numbers are 916, 969, 13, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
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 916, 969, 13, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 969, 13, 837 is 1.
Therefore, GCD of numbers 916, 969, 13, 837 is 1
Given Input Data is 916, 969, 13, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 13 is 13
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(916, 969) = 887604
GCD(916, 969) = ( 916 x 969 ) / 887604
GCD(916, 969) = 887604 / 887604
GCD(916, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 916, 969, 13, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 969, 13, 837?
GCD of 916, 969, 13, 837 is 1
2. Where do I get the detailed procedure to find GCD of 916, 969, 13, 837?
You can find a detailed procedure to find GCD of 916, 969, 13, 837 on our page.
3. How to find GCD of 916, 969, 13, 837 on a calculator?
You can find the GCD of 916, 969, 13, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.