GCD of 717, 264, 129, 975 Calculator

Given Input numbers are 717, 264, 129, 975

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 717, 264, 129, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 264, 129, 975 is 3.

Therefore, GCD of numbers 717, 264, 129, 975 is 3

Given Input Data is 717, 264, 129, 975

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 129 is 3 x 43

Prime Factorization of 975 is 3 x 5 x 5 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(717, 264) = 63096

GCD(717, 264) = ( 717 x 264 ) / 63096

GCD(717, 264) = 189288 / 63096

GCD(717, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 129

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

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

GCD(3, 129) = 387 / 129

GCD(3, 129) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

GCD of 717, 264, 129, 975 is 3

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1. What is the GCD of 717, 264, 129, 975?

GCD of 717, 264, 129, 975 is 3

2. Where do I get the detailed procedure to find GCD of 717, 264, 129, 975?

You can find a detailed procedure to find GCD of 717, 264, 129, 975 on our page.

3. How to find GCD of 717, 264, 129, 975 on a calculator?

You can find the GCD of 717, 264, 129, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.