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 676, 345, 591, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 345, 591, 252 is 1
GCD(676, 345, 591, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 345, 591, 252 is 1
GCD(676, 345, 591, 252) = 1
Given Input numbers are 676, 345, 591, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
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 676, 345, 591, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 345, 591, 252 is 1.
Therefore, GCD of numbers 676, 345, 591, 252 is 1
Given Input Data is 676, 345, 591, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 591 is 3 x 197
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(676, 345) = 233220
GCD(676, 345) = ( 676 x 345 ) / 233220
GCD(676, 345) = 233220 / 233220
GCD(676, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 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 676, 345, 591, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 345, 591, 252?
GCD of 676, 345, 591, 252 is 1
2. Where do I get the detailed procedure to find GCD of 676, 345, 591, 252?
You can find a detailed procedure to find GCD of 676, 345, 591, 252 on our page.
3. How to find GCD of 676, 345, 591, 252 on a calculator?
You can find the GCD of 676, 345, 591, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.