GCD of 667, 273, 972 Calculator

Given Input numbers are 667, 273, 972

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

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 667, 273, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 273, 972 is 1.

Therefore, GCD of numbers 667, 273, 972 is 1

Given Input Data is 667, 273, 972

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 273 is 3 x 7 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

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(667, 273) = 182091

GCD(667, 273) = ( 667 x 273 ) / 182091

GCD(667, 273) = 182091 / 182091

GCD(667, 273) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 667, 273, 972 is 1

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1. What is the GCD of 667, 273, 972?

GCD of 667, 273, 972 is 1

2. Where do I get the detailed procedure to find GCD of 667, 273, 972?

You can find a detailed procedure to find GCD of 667, 273, 972 on our page.

3. How to find GCD of 667, 273, 972 on a calculator?

You can find the GCD of 667, 273, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.