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 52, 963, 876, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 963, 876, 354 is 1
GCD(52, 963, 876, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 963, 876, 354 is 1
GCD(52, 963, 876, 354) = 1
Given Input numbers are 52, 963, 876, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
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 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 52, 963, 876, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 963, 876, 354 is 1.
Therefore, GCD of numbers 52, 963, 876, 354 is 1
Given Input Data is 52, 963, 876, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 354 is 2 x 3 x 59
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(52, 963) = 50076
GCD(52, 963) = ( 52 x 963 ) / 50076
GCD(52, 963) = 50076 / 50076
GCD(52, 963) = 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 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 52, 963, 876, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 963, 876, 354?
GCD of 52, 963, 876, 354 is 1
2. Where do I get the detailed procedure to find GCD of 52, 963, 876, 354?
You can find a detailed procedure to find GCD of 52, 963, 876, 354 on our page.
3. How to find GCD of 52, 963, 876, 354 on a calculator?
You can find the GCD of 52, 963, 876, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.