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 792, 265, 854, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 265, 854, 557 is 1
GCD(792, 265, 854, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 265, 854, 557 is 1
GCD(792, 265, 854, 557) = 1
Given Input numbers are 792, 265, 854, 557
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 792, 265, 854, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 265, 854, 557 is 1.
Therefore, GCD of numbers 792, 265, 854, 557 is 1
Given Input Data is 792, 265, 854, 557
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 265 is 5 x 53
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 557 is 557
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(792, 265) = 209880
GCD(792, 265) = ( 792 x 265 ) / 209880
GCD(792, 265) = 209880 / 209880
GCD(792, 265) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
GCD of 792, 265, 854, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 265, 854, 557?
GCD of 792, 265, 854, 557 is 1
2. Where do I get the detailed procedure to find GCD of 792, 265, 854, 557?
You can find a detailed procedure to find GCD of 792, 265, 854, 557 on our page.
3. How to find GCD of 792, 265, 854, 557 on a calculator?
You can find the GCD of 792, 265, 854, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.