GCD of 289, 710, 957, 567 Calculator

Given Input numbers are 289, 710, 957, 567

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 289, 710, 957, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 710, 957, 567 is 1.

Therefore, GCD of numbers 289, 710, 957, 567 is 1

Given Input Data is 289, 710, 957, 567

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 567 is 3 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, 710) = 205190

GCD(289, 710) = ( 289 x 710 ) / 205190

GCD(289, 710) = 205190 / 205190

GCD(289, 710) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 289, 710, 957, 567 is 1

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1. What is the GCD of 289, 710, 957, 567?

GCD of 289, 710, 957, 567 is 1

2. Where do I get the detailed procedure to find GCD of 289, 710, 957, 567?

You can find a detailed procedure to find GCD of 289, 710, 957, 567 on our page.

3. How to find GCD of 289, 710, 957, 567 on a calculator?

You can find the GCD of 289, 710, 957, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.