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, 278, 904, 607 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 278, 904, 607 is 1
GCD(996, 278, 904, 607) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 278, 904, 607 is 1
GCD(996, 278, 904, 607) = 1
Given Input numbers are 996, 278, 904, 607
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Greatest Common Divisior
We found the divisors of 996, 278, 904, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 278, 904, 607 is 1.
Therefore, GCD of numbers 996, 278, 904, 607 is 1
Given Input Data is 996, 278, 904, 607
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 278 is 2 x 139
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 607 is 607
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, 278) = 138444
GCD(996, 278) = ( 996 x 278 ) / 138444
GCD(996, 278) = 276888 / 138444
GCD(996, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
GCD(2, 904) = 1808 / 904
GCD(2, 904) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 607) = 1214
GCD(2, 607) = ( 2 x 607 ) / 1214
GCD(2, 607) = 1214 / 1214
GCD(2, 607) = 1
GCD of 996, 278, 904, 607 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 278, 904, 607?
GCD of 996, 278, 904, 607 is 1
2. Where do I get the detailed procedure to find GCD of 996, 278, 904, 607?
You can find a detailed procedure to find GCD of 996, 278, 904, 607 on our page.
3. How to find GCD of 996, 278, 904, 607 on a calculator?
You can find the GCD of 996, 278, 904, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.