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 372, 813, 91, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 813, 91, 269 is 1
GCD(372, 813, 91, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 813, 91, 269 is 1
GCD(372, 813, 91, 269) = 1
Given Input numbers are 372, 813, 91, 269
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 372, 813, 91, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 813, 91, 269 is 1.
Therefore, GCD of numbers 372, 813, 91, 269 is 1
Given Input Data is 372, 813, 91, 269
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 813 is 3 x 271
Prime Factorization of 91 is 7 x 13
Prime Factorization of 269 is 269
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(372, 813) = 100812
GCD(372, 813) = ( 372 x 813 ) / 100812
GCD(372, 813) = 302436 / 100812
GCD(372, 813) = 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 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
GCD of 372, 813, 91, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 813, 91, 269?
GCD of 372, 813, 91, 269 is 1
2. Where do I get the detailed procedure to find GCD of 372, 813, 91, 269?
You can find a detailed procedure to find GCD of 372, 813, 91, 269 on our page.
3. How to find GCD of 372, 813, 91, 269 on a calculator?
You can find the GCD of 372, 813, 91, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.