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 957, 630, 17, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 630, 17, 529 is 1
GCD(957, 630, 17, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 630, 17, 529 is 1
GCD(957, 630, 17, 529) = 1
Given Input numbers are 957, 630, 17, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 957, 630, 17, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 630, 17, 529 is 1.
Therefore, GCD of numbers 957, 630, 17, 529 is 1
Given Input Data is 957, 630, 17, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 17 is 17
Prime Factorization of 529 is 23 x 23
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(957, 630) = 200970
GCD(957, 630) = ( 957 x 630 ) / 200970
GCD(957, 630) = 602910 / 200970
GCD(957, 630) = 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 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 957, 630, 17, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 630, 17, 529?
GCD of 957, 630, 17, 529 is 1
2. Where do I get the detailed procedure to find GCD of 957, 630, 17, 529?
You can find a detailed procedure to find GCD of 957, 630, 17, 529 on our page.
3. How to find GCD of 957, 630, 17, 529 on a calculator?
You can find the GCD of 957, 630, 17, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.