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 918, 348, 15, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 348, 15, 368 is 1
GCD(918, 348, 15, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 348, 15, 368 is 1
GCD(918, 348, 15, 368) = 1
Given Input numbers are 918, 348, 15, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 918, 348, 15, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 348, 15, 368 is 1.
Therefore, GCD of numbers 918, 348, 15, 368 is 1
Given Input Data is 918, 348, 15, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 15 is 3 x 5
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(918, 348) = 53244
GCD(918, 348) = ( 918 x 348 ) / 53244
GCD(918, 348) = 319464 / 53244
GCD(918, 348) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 15) = 30
GCD(6, 15) = ( 6 x 15 ) / 30
GCD(6, 15) = 90 / 30
GCD(6, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 368) = 1104
GCD(3, 368) = ( 3 x 368 ) / 1104
GCD(3, 368) = 1104 / 1104
GCD(3, 368) = 1
GCD of 918, 348, 15, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 348, 15, 368?
GCD of 918, 348, 15, 368 is 1
2. Where do I get the detailed procedure to find GCD of 918, 348, 15, 368?
You can find a detailed procedure to find GCD of 918, 348, 15, 368 on our page.
3. How to find GCD of 918, 348, 15, 368 on a calculator?
You can find the GCD of 918, 348, 15, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.