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 257, 315, 656, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 257, 315, 656, 820 is 1
GCD(257, 315, 656, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 257, 315, 656, 820 is 1
GCD(257, 315, 656, 820) = 1
Given Input numbers are 257, 315, 656, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 257, 315, 656, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 315, 656, 820 is 1.
Therefore, GCD of numbers 257, 315, 656, 820 is 1
Given Input Data is 257, 315, 656, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 257 is 257
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(257, 315) = 80955
GCD(257, 315) = ( 257 x 315 ) / 80955
GCD(257, 315) = 80955 / 80955
GCD(257, 315) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 257, 315, 656, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 257, 315, 656, 820?
GCD of 257, 315, 656, 820 is 1
2. Where do I get the detailed procedure to find GCD of 257, 315, 656, 820?
You can find a detailed procedure to find GCD of 257, 315, 656, 820 on our page.
3. How to find GCD of 257, 315, 656, 820 on a calculator?
You can find the GCD of 257, 315, 656, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.