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 318, 646, 473, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 646, 473, 681 is 1
GCD(318, 646, 473, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 646, 473, 681 is 1
GCD(318, 646, 473, 681) = 1
Given Input numbers are 318, 646, 473, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 318, 646, 473, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 646, 473, 681 is 1.
Therefore, GCD of numbers 318, 646, 473, 681 is 1
Given Input Data is 318, 646, 473, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 473 is 11 x 43
Prime Factorization of 681 is 3 x 227
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(318, 646) = 102714
GCD(318, 646) = ( 318 x 646 ) / 102714
GCD(318, 646) = 205428 / 102714
GCD(318, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 473) = 946
GCD(2, 473) = ( 2 x 473 ) / 946
GCD(2, 473) = 946 / 946
GCD(2, 473) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 318, 646, 473, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 646, 473, 681?
GCD of 318, 646, 473, 681 is 1
2. Where do I get the detailed procedure to find GCD of 318, 646, 473, 681?
You can find a detailed procedure to find GCD of 318, 646, 473, 681 on our page.
3. How to find GCD of 318, 646, 473, 681 on a calculator?
You can find the GCD of 318, 646, 473, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.