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 715, 312, 218, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 312, 218, 337 is 1
GCD(715, 312, 218, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 312, 218, 337 is 1
GCD(715, 312, 218, 337) = 1
Given Input numbers are 715, 312, 218, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
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 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 715, 312, 218, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 312, 218, 337 is 1.
Therefore, GCD of numbers 715, 312, 218, 337 is 1
Given Input Data is 715, 312, 218, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 218 is 2 x 109
Prime Factorization of 337 is 337
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(715, 312) = 17160
GCD(715, 312) = ( 715 x 312 ) / 17160
GCD(715, 312) = 223080 / 17160
GCD(715, 312) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 218) = 2834
GCD(13, 218) = ( 13 x 218 ) / 2834
GCD(13, 218) = 2834 / 2834
GCD(13, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 715, 312, 218, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 312, 218, 337?
GCD of 715, 312, 218, 337 is 1
2. Where do I get the detailed procedure to find GCD of 715, 312, 218, 337?
You can find a detailed procedure to find GCD of 715, 312, 218, 337 on our page.
3. How to find GCD of 715, 312, 218, 337 on a calculator?
You can find the GCD of 715, 312, 218, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.