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, 110, 996, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 110, 996, 377 is 1
GCD(716, 110, 996, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 110, 996, 377 is 1
GCD(716, 110, 996, 377) = 1
Given Input numbers are 716, 110, 996, 377
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 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 716, 110, 996, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 110, 996, 377 is 1.
Therefore, GCD of numbers 716, 110, 996, 377 is 1
Given Input Data is 716, 110, 996, 377
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 110 is 2 x 5 x 11
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 377 is 13 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(716, 110) = 39380
GCD(716, 110) = ( 716 x 110 ) / 39380
GCD(716, 110) = 78760 / 39380
GCD(716, 110) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
GCD(2, 996) = 1992 / 996
GCD(2, 996) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 377) = 754
GCD(2, 377) = ( 2 x 377 ) / 754
GCD(2, 377) = 754 / 754
GCD(2, 377) = 1
GCD of 716, 110, 996, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 110, 996, 377?
GCD of 716, 110, 996, 377 is 1
2. Where do I get the detailed procedure to find GCD of 716, 110, 996, 377?
You can find a detailed procedure to find GCD of 716, 110, 996, 377 on our page.
3. How to find GCD of 716, 110, 996, 377 on a calculator?
You can find the GCD of 716, 110, 996, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.