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 722, 249, 80, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 722, 249, 80, 826 is 1
GCD(722, 249, 80, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 249, 80, 826 is 1
GCD(722, 249, 80, 826) = 1
Given Input numbers are 722, 249, 80, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
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 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 722, 249, 80, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 249, 80, 826 is 1.
Therefore, GCD of numbers 722, 249, 80, 826 is 1
Given Input Data is 722, 249, 80, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 249 is 3 x 83
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 826 is 2 x 7 x 59
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(722, 249) = 179778
GCD(722, 249) = ( 722 x 249 ) / 179778
GCD(722, 249) = 179778 / 179778
GCD(722, 249) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 722, 249, 80, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 249, 80, 826?
GCD of 722, 249, 80, 826 is 1
2. Where do I get the detailed procedure to find GCD of 722, 249, 80, 826?
You can find a detailed procedure to find GCD of 722, 249, 80, 826 on our page.
3. How to find GCD of 722, 249, 80, 826 on a calculator?
You can find the GCD of 722, 249, 80, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.