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 312, 307, 286, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 307, 286, 257 is 1
GCD(312, 307, 286, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 307, 286, 257 is 1
GCD(312, 307, 286, 257) = 1
Given Input numbers are 312, 307, 286, 257
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
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 312, 307, 286, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 307, 286, 257 is 1.
Therefore, GCD of numbers 312, 307, 286, 257 is 1
Given Input Data is 312, 307, 286, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 307 is 307
Prime Factorization of 286 is 2 x 11 x 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(312, 307) = 95784
GCD(312, 307) = ( 312 x 307 ) / 95784
GCD(312, 307) = 95784 / 95784
GCD(312, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 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 312, 307, 286, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 307, 286, 257?
GCD of 312, 307, 286, 257 is 1
2. Where do I get the detailed procedure to find GCD of 312, 307, 286, 257?
You can find a detailed procedure to find GCD of 312, 307, 286, 257 on our page.
3. How to find GCD of 312, 307, 286, 257 on a calculator?
You can find the GCD of 312, 307, 286, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.