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 998, 656, 57, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 656, 57, 125 is 1
GCD(998, 656, 57, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 656, 57, 125 is 1
GCD(998, 656, 57, 125) = 1
Given Input numbers are 998, 656, 57, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 998, 656, 57, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 656, 57, 125 is 1.
Therefore, GCD of numbers 998, 656, 57, 125 is 1
Given Input Data is 998, 656, 57, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 57 is 3 x 19
Prime Factorization of 125 is 5 x 5 x 5
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(998, 656) = 327344
GCD(998, 656) = ( 998 x 656 ) / 327344
GCD(998, 656) = 654688 / 327344
GCD(998, 656) = 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 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 998, 656, 57, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 656, 57, 125?
GCD of 998, 656, 57, 125 is 1
2. Where do I get the detailed procedure to find GCD of 998, 656, 57, 125?
You can find a detailed procedure to find GCD of 998, 656, 57, 125 on our page.
3. How to find GCD of 998, 656, 57, 125 on a calculator?
You can find the GCD of 998, 656, 57, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.