GCD of 289, 826, 975 Calculator

Given Input numbers are 289, 826, 975

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

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 289, 826, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 826, 975 is 1.

Therefore, GCD of numbers 289, 826, 975 is 1

Given Input Data is 289, 826, 975

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 975 is 3 x 5 x 5 x 13

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, 826) = 238714

GCD(289, 826) = ( 289 x 826 ) / 238714

GCD(289, 826) = 238714 / 238714

GCD(289, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 289, 826, 975 is 1

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1. What is the GCD of 289, 826, 975?

GCD of 289, 826, 975 is 1

2. Where do I get the detailed procedure to find GCD of 289, 826, 975?

You can find a detailed procedure to find GCD of 289, 826, 975 on our page.

3. How to find GCD of 289, 826, 975 on a calculator?

You can find the GCD of 289, 826, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.