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, 797, 280, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 797, 280, 983 is 1
GCD(726, 797, 280, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 797, 280, 983 is 1
GCD(726, 797, 280, 983) = 1
Given Input numbers are 726, 797, 280, 983
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 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 726, 797, 280, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 797, 280, 983 is 1.
Therefore, GCD of numbers 726, 797, 280, 983 is 1
Given Input Data is 726, 797, 280, 983
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 797 is 797
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 983 is 983
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, 797) = 578622
GCD(726, 797) = ( 726 x 797 ) / 578622
GCD(726, 797) = 578622 / 578622
GCD(726, 797) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 726, 797, 280, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 797, 280, 983?
GCD of 726, 797, 280, 983 is 1
2. Where do I get the detailed procedure to find GCD of 726, 797, 280, 983?
You can find a detailed procedure to find GCD of 726, 797, 280, 983 on our page.
3. How to find GCD of 726, 797, 280, 983 on a calculator?
You can find the GCD of 726, 797, 280, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.