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 726, 112, 180, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 112, 180, 371 is 1
GCD(726, 112, 180, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 112, 180, 371 is 1
GCD(726, 112, 180, 371) = 1
Given Input numbers are 726, 112, 180, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 726, 112, 180, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 112, 180, 371 is 1.
Therefore, GCD of numbers 726, 112, 180, 371 is 1
Given Input Data is 726, 112, 180, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 371 is 7 x 53
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(726, 112) = 40656
GCD(726, 112) = ( 726 x 112 ) / 40656
GCD(726, 112) = 81312 / 40656
GCD(726, 112) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
GCD(2, 371) = 742 / 742
GCD(2, 371) = 1
GCD of 726, 112, 180, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 112, 180, 371?
GCD of 726, 112, 180, 371 is 1
2. Where do I get the detailed procedure to find GCD of 726, 112, 180, 371?
You can find a detailed procedure to find GCD of 726, 112, 180, 371 on our page.
3. How to find GCD of 726, 112, 180, 371 on a calculator?
You can find the GCD of 726, 112, 180, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.