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 985, 290, 507, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 985, 290, 507, 663 is 1
GCD(985, 290, 507, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 985, 290, 507, 663 is 1
GCD(985, 290, 507, 663) = 1
Given Input numbers are 985, 290, 507, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 985, 290, 507, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 290, 507, 663 is 1.
Therefore, GCD of numbers 985, 290, 507, 663 is 1
Given Input Data is 985, 290, 507, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 985 is 5 x 197
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 663 is 3 x 13 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(985, 290) = 57130
GCD(985, 290) = ( 985 x 290 ) / 57130
GCD(985, 290) = 285650 / 57130
GCD(985, 290) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 507) = 2535
GCD(5, 507) = ( 5 x 507 ) / 2535
GCD(5, 507) = 2535 / 2535
GCD(5, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 985, 290, 507, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 985, 290, 507, 663?
GCD of 985, 290, 507, 663 is 1
2. Where do I get the detailed procedure to find GCD of 985, 290, 507, 663?
You can find a detailed procedure to find GCD of 985, 290, 507, 663 on our page.
3. How to find GCD of 985, 290, 507, 663 on a calculator?
You can find the GCD of 985, 290, 507, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.