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, 618, 12, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 618, 12, 109 is 1
GCD(715, 618, 12, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 618, 12, 109 is 1
GCD(715, 618, 12, 109) = 1
Given Input numbers are 715, 618, 12, 109
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 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 715, 618, 12, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 618, 12, 109 is 1.
Therefore, GCD of numbers 715, 618, 12, 109 is 1
Given Input Data is 715, 618, 12, 109
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 618 is 2 x 3 x 103
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 109 is 109
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, 618) = 441870
GCD(715, 618) = ( 715 x 618 ) / 441870
GCD(715, 618) = 441870 / 441870
GCD(715, 618) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 715, 618, 12, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 618, 12, 109?
GCD of 715, 618, 12, 109 is 1
2. Where do I get the detailed procedure to find GCD of 715, 618, 12, 109?
You can find a detailed procedure to find GCD of 715, 618, 12, 109 on our page.
3. How to find GCD of 715, 618, 12, 109 on a calculator?
You can find the GCD of 715, 618, 12, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.