GCD of 289, 399, 175, 756 Calculator

Given Input numbers are 289, 399, 175, 756

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 175

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

1, 5, 7, 25, 35, 175

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

Greatest Common Divisior

We found the divisors of 289, 399, 175, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 399, 175, 756 is 1.

Therefore, GCD of numbers 289, 399, 175, 756 is 1

Given Input Data is 289, 399, 175, 756

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 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(289, 399) = 115311

GCD(289, 399) = ( 289 x 399 ) / 115311

GCD(289, 399) = 115311 / 115311

GCD(289, 399) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 289, 399, 175, 756 is 1

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1. What is the GCD of 289, 399, 175, 756?

GCD of 289, 399, 175, 756 is 1

2. Where do I get the detailed procedure to find GCD of 289, 399, 175, 756?

You can find a detailed procedure to find GCD of 289, 399, 175, 756 on our page.

3. How to find GCD of 289, 399, 175, 756 on a calculator?

You can find the GCD of 289, 399, 175, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.