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 56, 992, 239, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 992, 239, 376 is 1
GCD(56, 992, 239, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 992, 239, 376 is 1
GCD(56, 992, 239, 376) = 1
Given Input numbers are 56, 992, 239, 376
To find the GCD of numbers using factoring list out all the divisors of each number
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 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 56, 992, 239, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 992, 239, 376 is 1.
Therefore, GCD of numbers 56, 992, 239, 376 is 1
Given Input Data is 56, 992, 239, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 239 is 239
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(56, 992) = 6944
GCD(56, 992) = ( 56 x 992 ) / 6944
GCD(56, 992) = 55552 / 6944
GCD(56, 992) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 239) = 1912
GCD(8, 239) = ( 8 x 239 ) / 1912
GCD(8, 239) = 1912 / 1912
GCD(8, 239) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 56, 992, 239, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 992, 239, 376?
GCD of 56, 992, 239, 376 is 1
2. Where do I get the detailed procedure to find GCD of 56, 992, 239, 376?
You can find a detailed procedure to find GCD of 56, 992, 239, 376 on our page.
3. How to find GCD of 56, 992, 239, 376 on a calculator?
You can find the GCD of 56, 992, 239, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.