GCD of 312, 958, 354 Calculator

Given Input numbers are 312, 958, 354

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 312, 958, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 958, 354 is 2.

Therefore, GCD of numbers 312, 958, 354 is 2

Given Input Data is 312, 958, 354

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 958 is 2 x 479

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(312, 958) = 149448

GCD(312, 958) = ( 312 x 958 ) / 149448

GCD(312, 958) = 298896 / 149448

GCD(312, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 312, 958, 354 is 2

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1. What is the GCD of 312, 958, 354?

GCD of 312, 958, 354 is 2

2. Where do I get the detailed procedure to find GCD of 312, 958, 354?

You can find a detailed procedure to find GCD of 312, 958, 354 on our page.

3. How to find GCD of 312, 958, 354 on a calculator?

You can find the GCD of 312, 958, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.