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, 217, 331, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 217, 331, 946 is 1
GCD(724, 217, 331, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 217, 331, 946 is 1
GCD(724, 217, 331, 946) = 1
Given Input numbers are 724, 217, 331, 946
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 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 724, 217, 331, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 217, 331, 946 is 1.
Therefore, GCD of numbers 724, 217, 331, 946 is 1
Given Input Data is 724, 217, 331, 946
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 217 is 7 x 31
Prime Factorization of 331 is 331
Prime Factorization of 946 is 2 x 11 x 43
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, 217) = 157108
GCD(724, 217) = ( 724 x 217 ) / 157108
GCD(724, 217) = 157108 / 157108
GCD(724, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 724, 217, 331, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 217, 331, 946?
GCD of 724, 217, 331, 946 is 1
2. Where do I get the detailed procedure to find GCD of 724, 217, 331, 946?
You can find a detailed procedure to find GCD of 724, 217, 331, 946 on our page.
3. How to find GCD of 724, 217, 331, 946 on a calculator?
You can find the GCD of 724, 217, 331, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.