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 993, 716, 72, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 716, 72, 957 is 1
GCD(993, 716, 72, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 716, 72, 957 is 1
GCD(993, 716, 72, 957) = 1
Given Input numbers are 993, 716, 72, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
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 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 993, 716, 72, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 716, 72, 957 is 1.
Therefore, GCD of numbers 993, 716, 72, 957 is 1
Given Input Data is 993, 716, 72, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 957 is 3 x 11 x 29
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(993, 716) = 710988
GCD(993, 716) = ( 993 x 716 ) / 710988
GCD(993, 716) = 710988 / 710988
GCD(993, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
GCD(1, 957) = 957 / 957
GCD(1, 957) = 1
GCD of 993, 716, 72, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 716, 72, 957?
GCD of 993, 716, 72, 957 is 1
2. Where do I get the detailed procedure to find GCD of 993, 716, 72, 957?
You can find a detailed procedure to find GCD of 993, 716, 72, 957 on our page.
3. How to find GCD of 993, 716, 72, 957 on a calculator?
You can find the GCD of 993, 716, 72, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.