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, 518, 67, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 518, 67, 356 is 1
GCD(345, 518, 67, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 518, 67, 356 is 1
GCD(345, 518, 67, 356) = 1
Given Input numbers are 345, 518, 67, 356
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 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 345, 518, 67, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 518, 67, 356 is 1.
Therefore, GCD of numbers 345, 518, 67, 356 is 1
Given Input Data is 345, 518, 67, 356
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 518 is 2 x 7 x 37
Prime Factorization of 67 is 67
Prime Factorization of 356 is 2 x 2 x 89
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, 518) = 178710
GCD(345, 518) = ( 345 x 518 ) / 178710
GCD(345, 518) = 178710 / 178710
GCD(345, 518) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 345, 518, 67, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 518, 67, 356?
GCD of 345, 518, 67, 356 is 1
2. Where do I get the detailed procedure to find GCD of 345, 518, 67, 356?
You can find a detailed procedure to find GCD of 345, 518, 67, 356 on our page.
3. How to find GCD of 345, 518, 67, 356 on a calculator?
You can find the GCD of 345, 518, 67, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.