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 18, 294, 351, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 294, 351, 376 is 1
GCD(18, 294, 351, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 294, 351, 376 is 1
GCD(18, 294, 351, 376) = 1
Given Input numbers are 18, 294, 351, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 18, 294, 351, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 294, 351, 376 is 1.
Therefore, GCD of numbers 18, 294, 351, 376 is 1
Given Input Data is 18, 294, 351, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(18, 294) = 882
GCD(18, 294) = ( 18 x 294 ) / 882
GCD(18, 294) = 5292 / 882
GCD(18, 294) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 351) = 702
GCD(6, 351) = ( 6 x 351 ) / 702
GCD(6, 351) = 2106 / 702
GCD(6, 351) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 376) = 1128
GCD(3, 376) = ( 3 x 376 ) / 1128
GCD(3, 376) = 1128 / 1128
GCD(3, 376) = 1
GCD of 18, 294, 351, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 294, 351, 376?
GCD of 18, 294, 351, 376 is 1
2. Where do I get the detailed procedure to find GCD of 18, 294, 351, 376?
You can find a detailed procedure to find GCD of 18, 294, 351, 376 on our page.
3. How to find GCD of 18, 294, 351, 376 on a calculator?
You can find the GCD of 18, 294, 351, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.