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 918, 998, 56, 372 i.e. 2 largest integer that divides all the numbers equally.
GCD of 918, 998, 56, 372 is 2
GCD(918, 998, 56, 372) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 998, 56, 372 is 2
GCD(918, 998, 56, 372) = 2
Given Input numbers are 918, 998, 56, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 918, 998, 56, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 998, 56, 372 is 2.
Therefore, GCD of numbers 918, 998, 56, 372 is 2
Given Input Data is 918, 998, 56, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 998 is 2 x 499
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 372 is 2 x 2 x 3 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(918, 998) = 458082
GCD(918, 998) = ( 918 x 998 ) / 458082
GCD(918, 998) = 916164 / 458082
GCD(918, 998) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 56) = 56
GCD(2, 56) = ( 2 x 56 ) / 56
GCD(2, 56) = 112 / 56
GCD(2, 56) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 372) = 372
GCD(2, 372) = ( 2 x 372 ) / 372
GCD(2, 372) = 744 / 372
GCD(2, 372) = 2
GCD of 918, 998, 56, 372 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 998, 56, 372?
GCD of 918, 998, 56, 372 is 2
2. Where do I get the detailed procedure to find GCD of 918, 998, 56, 372?
You can find a detailed procedure to find GCD of 918, 998, 56, 372 on our page.
3. How to find GCD of 918, 998, 56, 372 on a calculator?
You can find the GCD of 918, 998, 56, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.