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 361, 965, 876, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 965, 876, 564 is 1
GCD(361, 965, 876, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 965, 876, 564 is 1
GCD(361, 965, 876, 564) = 1
Given Input numbers are 361, 965, 876, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
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 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 361, 965, 876, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 965, 876, 564 is 1.
Therefore, GCD of numbers 361, 965, 876, 564 is 1
Given Input Data is 361, 965, 876, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 965 is 5 x 193
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(361, 965) = 348365
GCD(361, 965) = ( 361 x 965 ) / 348365
GCD(361, 965) = 348365 / 348365
GCD(361, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 361, 965, 876, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 965, 876, 564?
GCD of 361, 965, 876, 564 is 1
2. Where do I get the detailed procedure to find GCD of 361, 965, 876, 564?
You can find a detailed procedure to find GCD of 361, 965, 876, 564 on our page.
3. How to find GCD of 361, 965, 876, 564 on a calculator?
You can find the GCD of 361, 965, 876, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.