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 249, 724, 132, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 724, 132, 681 is 1
GCD(249, 724, 132, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 724, 132, 681 is 1
GCD(249, 724, 132, 681) = 1
Given Input numbers are 249, 724, 132, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 249, 724, 132, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 724, 132, 681 is 1.
Therefore, GCD of numbers 249, 724, 132, 681 is 1
Given Input Data is 249, 724, 132, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 681 is 3 x 227
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(249, 724) = 180276
GCD(249, 724) = ( 249 x 724 ) / 180276
GCD(249, 724) = 180276 / 180276
GCD(249, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 249, 724, 132, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 724, 132, 681?
GCD of 249, 724, 132, 681 is 1
2. Where do I get the detailed procedure to find GCD of 249, 724, 132, 681?
You can find a detailed procedure to find GCD of 249, 724, 132, 681 on our page.
3. How to find GCD of 249, 724, 132, 681 on a calculator?
You can find the GCD of 249, 724, 132, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.