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 921, 522, 91, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 921, 522, 91, 252 is 1
GCD(921, 522, 91, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 921, 522, 91, 252 is 1
GCD(921, 522, 91, 252) = 1
Given Input numbers are 921, 522, 91, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
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
Greatest Common Divisior
We found the divisors of 921, 522, 91, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 522, 91, 252 is 1.
Therefore, GCD of numbers 921, 522, 91, 252 is 1
Given Input Data is 921, 522, 91, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 921 is 3 x 307
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 91 is 7 x 13
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(921, 522) = 160254
GCD(921, 522) = ( 921 x 522 ) / 160254
GCD(921, 522) = 480762 / 160254
GCD(921, 522) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 91) = 273
GCD(3, 91) = ( 3 x 91 ) / 273
GCD(3, 91) = 273 / 273
GCD(3, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 921, 522, 91, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 921, 522, 91, 252?
GCD of 921, 522, 91, 252 is 1
2. Where do I get the detailed procedure to find GCD of 921, 522, 91, 252?
You can find a detailed procedure to find GCD of 921, 522, 91, 252 on our page.
3. How to find GCD of 921, 522, 91, 252 on a calculator?
You can find the GCD of 921, 522, 91, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.