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 318, 975, 180, 378 i.e. 3 largest integer that divides all the numbers equally.
GCD of 318, 975, 180, 378 is 3
GCD(318, 975, 180, 378) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 975, 180, 378 is 3
GCD(318, 975, 180, 378) = 3
Given Input numbers are 318, 975, 180, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 318, 975, 180, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 975, 180, 378 is 3.
Therefore, GCD of numbers 318, 975, 180, 378 is 3
Given Input Data is 318, 975, 180, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(318, 975) = 103350
GCD(318, 975) = ( 318 x 975 ) / 103350
GCD(318, 975) = 310050 / 103350
GCD(318, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
GCD(3, 180) = 540 / 180
GCD(3, 180) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
GCD(3, 378) = 1134 / 378
GCD(3, 378) = 3
GCD of 318, 975, 180, 378 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 975, 180, 378?
GCD of 318, 975, 180, 378 is 3
2. Where do I get the detailed procedure to find GCD of 318, 975, 180, 378?
You can find a detailed procedure to find GCD of 318, 975, 180, 378 on our page.
3. How to find GCD of 318, 975, 180, 378 on a calculator?
You can find the GCD of 318, 975, 180, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.