GCD of 565, 258, 117, 391 Calculator

Given Input numbers are 565, 258, 117, 391

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 565, 258, 117, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 258, 117, 391 is 1.

Therefore, GCD of numbers 565, 258, 117, 391 is 1

Given Input Data is 565, 258, 117, 391

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 391 is 17 x 23

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(565, 258) = 145770

GCD(565, 258) = ( 565 x 258 ) / 145770

GCD(565, 258) = 145770 / 145770

GCD(565, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 565, 258, 117, 391 is 1

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1. What is the GCD of 565, 258, 117, 391?

GCD of 565, 258, 117, 391 is 1

2. Where do I get the detailed procedure to find GCD of 565, 258, 117, 391?

You can find a detailed procedure to find GCD of 565, 258, 117, 391 on our page.

3. How to find GCD of 565, 258, 117, 391 on a calculator?

You can find the GCD of 565, 258, 117, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.