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 612, 871, 82, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 871, 82, 318 is 1
GCD(612, 871, 82, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 871, 82, 318 is 1
GCD(612, 871, 82, 318) = 1
Given Input numbers are 612, 871, 82, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 612, 871, 82, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 871, 82, 318 is 1.
Therefore, GCD of numbers 612, 871, 82, 318 is 1
Given Input Data is 612, 871, 82, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 871 is 13 x 67
Prime Factorization of 82 is 2 x 41
Prime Factorization of 318 is 2 x 3 x 53
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(612, 871) = 533052
GCD(612, 871) = ( 612 x 871 ) / 533052
GCD(612, 871) = 533052 / 533052
GCD(612, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 612, 871, 82, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 871, 82, 318?
GCD of 612, 871, 82, 318 is 1
2. Where do I get the detailed procedure to find GCD of 612, 871, 82, 318?
You can find a detailed procedure to find GCD of 612, 871, 82, 318 on our page.
3. How to find GCD of 612, 871, 82, 318 on a calculator?
You can find the GCD of 612, 871, 82, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.