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 996, 514, 78, 937 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 514, 78, 937 is 1
GCD(996, 514, 78, 937) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 514, 78, 937 is 1
GCD(996, 514, 78, 937) = 1
Given Input numbers are 996, 514, 78, 937
To find the GCD of numbers using factoring list out all the divisors of each number
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 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Greatest Common Divisior
We found the divisors of 996, 514, 78, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 514, 78, 937 is 1.
Therefore, GCD of numbers 996, 514, 78, 937 is 1
Given Input Data is 996, 514, 78, 937
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 514 is 2 x 257
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 937 is 937
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(996, 514) = 255972
GCD(996, 514) = ( 996 x 514 ) / 255972
GCD(996, 514) = 511944 / 255972
GCD(996, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
GCD(2, 78) = 156 / 78
GCD(2, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 937) = 1874
GCD(2, 937) = ( 2 x 937 ) / 1874
GCD(2, 937) = 1874 / 1874
GCD(2, 937) = 1
GCD of 996, 514, 78, 937 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 514, 78, 937?
GCD of 996, 514, 78, 937 is 1
2. Where do I get the detailed procedure to find GCD of 996, 514, 78, 937?
You can find a detailed procedure to find GCD of 996, 514, 78, 937 on our page.
3. How to find GCD of 996, 514, 78, 937 on a calculator?
You can find the GCD of 996, 514, 78, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.