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 474, 792, 25, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 792, 25, 935 is 1
GCD(474, 792, 25, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 792, 25, 935 is 1
GCD(474, 792, 25, 935) = 1
Given Input numbers are 474, 792, 25, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
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 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 474, 792, 25, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 792, 25, 935 is 1.
Therefore, GCD of numbers 474, 792, 25, 935 is 1
Given Input Data is 474, 792, 25, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 25 is 5 x 5
Prime Factorization of 935 is 5 x 11 x 17
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(474, 792) = 62568
GCD(474, 792) = ( 474 x 792 ) / 62568
GCD(474, 792) = 375408 / 62568
GCD(474, 792) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 25) = 150
GCD(6, 25) = ( 6 x 25 ) / 150
GCD(6, 25) = 150 / 150
GCD(6, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 474, 792, 25, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 792, 25, 935?
GCD of 474, 792, 25, 935 is 1
2. Where do I get the detailed procedure to find GCD of 474, 792, 25, 935?
You can find a detailed procedure to find GCD of 474, 792, 25, 935 on our page.
3. How to find GCD of 474, 792, 25, 935 on a calculator?
You can find the GCD of 474, 792, 25, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.