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 507, 981, 17, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 981, 17, 425 is 1
GCD(507, 981, 17, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 981, 17, 425 is 1
GCD(507, 981, 17, 425) = 1
Given Input numbers are 507, 981, 17, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
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 507, 981, 17, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 981, 17, 425 is 1.
Therefore, GCD of numbers 507, 981, 17, 425 is 1
Given Input Data is 507, 981, 17, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 17 is 17
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(507, 981) = 165789
GCD(507, 981) = ( 507 x 981 ) / 165789
GCD(507, 981) = 497367 / 165789
GCD(507, 981) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 17) = 51
GCD(3, 17) = ( 3 x 17 ) / 51
GCD(3, 17) = 51 / 51
GCD(3, 17) = 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 507, 981, 17, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 981, 17, 425?
GCD of 507, 981, 17, 425 is 1
2. Where do I get the detailed procedure to find GCD of 507, 981, 17, 425?
You can find a detailed procedure to find GCD of 507, 981, 17, 425 on our page.
3. How to find GCD of 507, 981, 17, 425 on a calculator?
You can find the GCD of 507, 981, 17, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.