GCD of 147, 972, 312 Calculator

Given Input numbers are 147, 972, 312

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

Greatest Common Divisior

We found the divisors of 147, 972, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 972, 312 is 3.

Therefore, GCD of numbers 147, 972, 312 is 3

Given Input Data is 147, 972, 312

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

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(147, 972) = 47628

GCD(147, 972) = ( 147 x 972 ) / 47628

GCD(147, 972) = 142884 / 47628

GCD(147, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 312

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

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

GCD(3, 312) = 936 / 312

GCD(3, 312) = 3

GCD of 147, 972, 312 is 3

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• GCD of 470, 122, 647
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1. What is the GCD of 147, 972, 312?

GCD of 147, 972, 312 is 3

2. Where do I get the detailed procedure to find GCD of 147, 972, 312?

You can find a detailed procedure to find GCD of 147, 972, 312 on our page.

3. How to find GCD of 147, 972, 312 on a calculator?

You can find the GCD of 147, 972, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.