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 246, 657, 13, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 246, 657, 13, 257 is 1
GCD(246, 657, 13, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 246, 657, 13, 257 is 1
GCD(246, 657, 13, 257) = 1
Given Input numbers are 246, 657, 13, 257
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 246, 657, 13, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 657, 13, 257 is 1.
Therefore, GCD of numbers 246, 657, 13, 257 is 1
Given Input Data is 246, 657, 13, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 13 is 13
Prime Factorization of 257 is 257
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(246, 657) = 53874
GCD(246, 657) = ( 246 x 657 ) / 53874
GCD(246, 657) = 161622 / 53874
GCD(246, 657) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 246, 657, 13, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 246, 657, 13, 257?
GCD of 246, 657, 13, 257 is 1
2. Where do I get the detailed procedure to find GCD of 246, 657, 13, 257?
You can find a detailed procedure to find GCD of 246, 657, 13, 257 on our page.
3. How to find GCD of 246, 657, 13, 257 on a calculator?
You can find the GCD of 246, 657, 13, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.