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 716, 232, 72, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 232, 72, 297 is 1
GCD(716, 232, 72, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 232, 72, 297 is 1
GCD(716, 232, 72, 297) = 1
Given Input numbers are 716, 232, 72, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 716, 232, 72, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 232, 72, 297 is 1.
Therefore, GCD of numbers 716, 232, 72, 297 is 1
Given Input Data is 716, 232, 72, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(716, 232) = 41528
GCD(716, 232) = ( 716 x 232 ) / 41528
GCD(716, 232) = 166112 / 41528
GCD(716, 232) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
GCD(4, 72) = 288 / 72
GCD(4, 72) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 297) = 1188
GCD(4, 297) = ( 4 x 297 ) / 1188
GCD(4, 297) = 1188 / 1188
GCD(4, 297) = 1
GCD of 716, 232, 72, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 232, 72, 297?
GCD of 716, 232, 72, 297 is 1
2. Where do I get the detailed procedure to find GCD of 716, 232, 72, 297?
You can find a detailed procedure to find GCD of 716, 232, 72, 297 on our page.
3. How to find GCD of 716, 232, 72, 297 on a calculator?
You can find the GCD of 716, 232, 72, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.