GCD of 289, 137, 970, 569 Calculator

Given Input numbers are 289, 137, 970, 569

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 289, 137, 970, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 137, 970, 569 is 1.

Therefore, GCD of numbers 289, 137, 970, 569 is 1

Given Input Data is 289, 137, 970, 569

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 137 is 137

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 569 is 569

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, 137) = 39593

GCD(289, 137) = ( 289 x 137 ) / 39593

GCD(289, 137) = 39593 / 39593

GCD(289, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

GCD of 289, 137, 970, 569 is 1

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1. What is the GCD of 289, 137, 970, 569?

GCD of 289, 137, 970, 569 is 1

2. Where do I get the detailed procedure to find GCD of 289, 137, 970, 569?

You can find a detailed procedure to find GCD of 289, 137, 970, 569 on our page.

3. How to find GCD of 289, 137, 970, 569 on a calculator?

You can find the GCD of 289, 137, 970, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.