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 494, 772, 57, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 772, 57, 425 is 1
GCD(494, 772, 57, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 772, 57, 425 is 1
GCD(494, 772, 57, 425) = 1
Given Input numbers are 494, 772, 57, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 494, 772, 57, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 772, 57, 425 is 1.
Therefore, GCD of numbers 494, 772, 57, 425 is 1
Given Input Data is 494, 772, 57, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 57 is 3 x 19
Prime Factorization of 425 is 5 x 5 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(494, 772) = 190684
GCD(494, 772) = ( 494 x 772 ) / 190684
GCD(494, 772) = 381368 / 190684
GCD(494, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 494, 772, 57, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 772, 57, 425?
GCD of 494, 772, 57, 425 is 1
2. Where do I get the detailed procedure to find GCD of 494, 772, 57, 425?
You can find a detailed procedure to find GCD of 494, 772, 57, 425 on our page.
3. How to find GCD of 494, 772, 57, 425 on a calculator?
You can find the GCD of 494, 772, 57, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.