GCD of 524, 276, 75, 717 Calculator

Given Input numbers are 524, 276, 75, 717

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 717

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

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 524, 276, 75, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 276, 75, 717 is 1.

Therefore, GCD of numbers 524, 276, 75, 717 is 1

Given Input Data is 524, 276, 75, 717

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 717 is 3 x 239

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(524, 276) = 36156

GCD(524, 276) = ( 524 x 276 ) / 36156

GCD(524, 276) = 144624 / 36156

GCD(524, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 524, 276, 75, 717 is 1

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1. What is the GCD of 524, 276, 75, 717?

GCD of 524, 276, 75, 717 is 1

2. Where do I get the detailed procedure to find GCD of 524, 276, 75, 717?

You can find a detailed procedure to find GCD of 524, 276, 75, 717 on our page.

3. How to find GCD of 524, 276, 75, 717 on a calculator?

You can find the GCD of 524, 276, 75, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.