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 116, 550, 53, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 550, 53, 792 is 1
GCD(116, 550, 53, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 550, 53, 792 is 1
GCD(116, 550, 53, 792) = 1
Given Input numbers are 116, 550, 53, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 116, 550, 53, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 550, 53, 792 is 1.
Therefore, GCD of numbers 116, 550, 53, 792 is 1
Given Input Data is 116, 550, 53, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 53 is 53
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
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(116, 550) = 31900
GCD(116, 550) = ( 116 x 550 ) / 31900
GCD(116, 550) = 63800 / 31900
GCD(116, 550) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 53) = 106
GCD(2, 53) = ( 2 x 53 ) / 106
GCD(2, 53) = 106 / 106
GCD(2, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 116, 550, 53, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 550, 53, 792?
GCD of 116, 550, 53, 792 is 1
2. Where do I get the detailed procedure to find GCD of 116, 550, 53, 792?
You can find a detailed procedure to find GCD of 116, 550, 53, 792 on our page.
3. How to find GCD of 116, 550, 53, 792 on a calculator?
You can find the GCD of 116, 550, 53, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.