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, 852, 80, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 852, 80, 337 is 1
GCD(252, 852, 80, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 852, 80, 337 is 1
GCD(252, 852, 80, 337) = 1
Given Input numbers are 252, 852, 80, 337
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 252, 852, 80, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 852, 80, 337 is 1.
Therefore, GCD of numbers 252, 852, 80, 337 is 1
Given Input Data is 252, 852, 80, 337
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 852 is 2 x 2 x 3 x 71
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 337 is 337
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, 852) = 17892
GCD(252, 852) = ( 252 x 852 ) / 17892
GCD(252, 852) = 214704 / 17892
GCD(252, 852) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 80) = 240
GCD(12, 80) = ( 12 x 80 ) / 240
GCD(12, 80) = 960 / 240
GCD(12, 80) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 337) = 1348
GCD(4, 337) = ( 4 x 337 ) / 1348
GCD(4, 337) = 1348 / 1348
GCD(4, 337) = 1
GCD of 252, 852, 80, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 852, 80, 337?
GCD of 252, 852, 80, 337 is 1
2. Where do I get the detailed procedure to find GCD of 252, 852, 80, 337?
You can find a detailed procedure to find GCD of 252, 852, 80, 337 on our page.
3. How to find GCD of 252, 852, 80, 337 on a calculator?
You can find the GCD of 252, 852, 80, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.