GCD of 675, 645, 972 Calculator

Given Input numbers are 675, 645, 972

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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 675, 645, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 645, 972 is 3.

Therefore, GCD of numbers 675, 645, 972 is 3

Given Input Data is 675, 645, 972

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 645 is 3 x 5 x 43

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 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(675, 645) = 29025

GCD(675, 645) = ( 675 x 645 ) / 29025

GCD(675, 645) = 435375 / 29025

GCD(675, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 972

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

LCM(15, 972) = 4860

GCD(15, 972) = ( 15 x 972 ) / 4860

GCD(15, 972) = 14580 / 4860

GCD(15, 972) = 3

GCD of 675, 645, 972 is 3

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1. What is the GCD of 675, 645, 972?

GCD of 675, 645, 972 is 3

2. Where do I get the detailed procedure to find GCD of 675, 645, 972?

You can find a detailed procedure to find GCD of 675, 645, 972 on our page.

3. How to find GCD of 675, 645, 972 on a calculator?

You can find the GCD of 675, 645, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.