GCD of 727, 756, 175 Calculator

Given Input numbers are 727, 756, 175

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 727, 756, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 756, 175 is 1.

Therefore, GCD of numbers 727, 756, 175 is 1

Given Input Data is 727, 756, 175

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

Prime Factorization of 727 is 727

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 175 is 5 x 5 x 7

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(727, 756) = 549612

GCD(727, 756) = ( 727 x 756 ) / 549612

GCD(727, 756) = 549612 / 549612

GCD(727, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 727, 756, 175 is 1

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1. What is the GCD of 727, 756, 175?

GCD of 727, 756, 175 is 1

2. Where do I get the detailed procedure to find GCD of 727, 756, 175?

You can find a detailed procedure to find GCD of 727, 756, 175 on our page.

3. How to find GCD of 727, 756, 175 on a calculator?

You can find the GCD of 727, 756, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.