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 315, 402, 12, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 402, 12, 340 is 1
GCD(315, 402, 12, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 402, 12, 340 is 1
GCD(315, 402, 12, 340) = 1
Given Input numbers are 315, 402, 12, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 315, 402, 12, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 402, 12, 340 is 1.
Therefore, GCD of numbers 315, 402, 12, 340 is 1
Given Input Data is 315, 402, 12, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(315, 402) = 42210
GCD(315, 402) = ( 315 x 402 ) / 42210
GCD(315, 402) = 126630 / 42210
GCD(315, 402) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
GCD(3, 12) = 36 / 12
GCD(3, 12) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 340) = 1020
GCD(3, 340) = ( 3 x 340 ) / 1020
GCD(3, 340) = 1020 / 1020
GCD(3, 340) = 1
GCD of 315, 402, 12, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 402, 12, 340?
GCD of 315, 402, 12, 340 is 1
2. Where do I get the detailed procedure to find GCD of 315, 402, 12, 340?
You can find a detailed procedure to find GCD of 315, 402, 12, 340 on our page.
3. How to find GCD of 315, 402, 12, 340 on a calculator?
You can find the GCD of 315, 402, 12, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.