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 252, 876, 566, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 876, 566, 535 is 1
GCD(252, 876, 566, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 876, 566, 535 is 1
GCD(252, 876, 566, 535) = 1
Given Input numbers are 252, 876, 566, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 252, 876, 566, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 876, 566, 535 is 1.
Therefore, GCD of numbers 252, 876, 566, 535 is 1
Given Input Data is 252, 876, 566, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 566 is 2 x 283
Prime Factorization of 535 is 5 x 107
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(252, 876) = 18396
GCD(252, 876) = ( 252 x 876 ) / 18396
GCD(252, 876) = 220752 / 18396
GCD(252, 876) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 566) = 3396
GCD(12, 566) = ( 12 x 566 ) / 3396
GCD(12, 566) = 6792 / 3396
GCD(12, 566) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 535) = 1070
GCD(2, 535) = ( 2 x 535 ) / 1070
GCD(2, 535) = 1070 / 1070
GCD(2, 535) = 1
GCD of 252, 876, 566, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 876, 566, 535?
GCD of 252, 876, 566, 535 is 1
2. Where do I get the detailed procedure to find GCD of 252, 876, 566, 535?
You can find a detailed procedure to find GCD of 252, 876, 566, 535 on our page.
3. How to find GCD of 252, 876, 566, 535 on a calculator?
You can find the GCD of 252, 876, 566, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.