GCD of 114, 975, 318 Calculator

Given Input numbers are 114, 975, 318

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 114, 975, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 975, 318 is 3.

Therefore, GCD of numbers 114, 975, 318 is 3

Given Input Data is 114, 975, 318

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 318 is 2 x 3 x 53

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(114, 975) = 37050

GCD(114, 975) = ( 114 x 975 ) / 37050

GCD(114, 975) = 111150 / 37050

GCD(114, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

GCD of 114, 975, 318 is 3

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1. What is the GCD of 114, 975, 318?

GCD of 114, 975, 318 is 3

2. Where do I get the detailed procedure to find GCD of 114, 975, 318?

You can find a detailed procedure to find GCD of 114, 975, 318 on our page.

3. How to find GCD of 114, 975, 318 on a calculator?

You can find the GCD of 114, 975, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.