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 345, 714, 22 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 714, 22 is 1
GCD(345, 714, 22) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 714, 22 is 1
GCD(345, 714, 22) = 1
Given Input numbers are 345, 714, 22
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Greatest Common Divisior
We found the divisors of 345, 714, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 714, 22 is 1.
Therefore, GCD of numbers 345, 714, 22 is 1
Given Input Data is 345, 714, 22
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 22 is 2 x 11
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(345, 714) = 82110
GCD(345, 714) = ( 345 x 714 ) / 82110
GCD(345, 714) = 246330 / 82110
GCD(345, 714) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 22) = 66
GCD(3, 22) = ( 3 x 22 ) / 66
GCD(3, 22) = 66 / 66
GCD(3, 22) = 1
GCD of 345, 714, 22 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 714, 22?
GCD of 345, 714, 22 is 1
2. Where do I get the detailed procedure to find GCD of 345, 714, 22?
You can find a detailed procedure to find GCD of 345, 714, 22 on our page.
3. How to find GCD of 345, 714, 22 on a calculator?
You can find the GCD of 345, 714, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.