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 724, 747, 713, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 747, 713, 222 is 1
GCD(724, 747, 713, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 747, 713, 222 is 1
GCD(724, 747, 713, 222) = 1
Given Input numbers are 724, 747, 713, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 724, 747, 713, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 747, 713, 222 is 1.
Therefore, GCD of numbers 724, 747, 713, 222 is 1
Given Input Data is 724, 747, 713, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 713 is 23 x 31
Prime Factorization of 222 is 2 x 3 x 37
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(724, 747) = 540828
GCD(724, 747) = ( 724 x 747 ) / 540828
GCD(724, 747) = 540828 / 540828
GCD(724, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 724, 747, 713, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 747, 713, 222?
GCD of 724, 747, 713, 222 is 1
2. Where do I get the detailed procedure to find GCD of 724, 747, 713, 222?
You can find a detailed procedure to find GCD of 724, 747, 713, 222 on our page.
3. How to find GCD of 724, 747, 713, 222 on a calculator?
You can find the GCD of 724, 747, 713, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.