GCD of 744, 164, 972 Calculator

Given Input numbers are 744, 164, 972

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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

Greatest Common Divisior

We found the divisors of 744, 164, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 164, 972 is 4.

Therefore, GCD of numbers 744, 164, 972 is 4

Given Input Data is 744, 164, 972

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 164 is 2 x 2 x 41

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(744, 164) = 30504

GCD(744, 164) = ( 744 x 164 ) / 30504

GCD(744, 164) = 122016 / 30504

GCD(744, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 972

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

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

GCD(4, 972) = 3888 / 972

GCD(4, 972) = 4

GCD of 744, 164, 972 is 4

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1. What is the GCD of 744, 164, 972?

GCD of 744, 164, 972 is 4

2. Where do I get the detailed procedure to find GCD of 744, 164, 972?

You can find a detailed procedure to find GCD of 744, 164, 972 on our page.

3. How to find GCD of 744, 164, 972 on a calculator?

You can find the GCD of 744, 164, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.