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 364, 422, 969, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 422, 969, 837 is 1
GCD(364, 422, 969, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 422, 969, 837 is 1
GCD(364, 422, 969, 837) = 1
Given Input numbers are 364, 422, 969, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
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 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 364, 422, 969, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 422, 969, 837 is 1.
Therefore, GCD of numbers 364, 422, 969, 837 is 1
Given Input Data is 364, 422, 969, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 422 is 2 x 211
Prime Factorization of 969 is 3 x 17 x 19
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(364, 422) = 76804
GCD(364, 422) = ( 364 x 422 ) / 76804
GCD(364, 422) = 153608 / 76804
GCD(364, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
GCD(2, 969) = 1938 / 1938
GCD(2, 969) = 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 364, 422, 969, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 422, 969, 837?
GCD of 364, 422, 969, 837 is 1
2. Where do I get the detailed procedure to find GCD of 364, 422, 969, 837?
You can find a detailed procedure to find GCD of 364, 422, 969, 837 on our page.
3. How to find GCD of 364, 422, 969, 837 on a calculator?
You can find the GCD of 364, 422, 969, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.