GCD of 65, 209, 558, 959 Calculator

Given Input numbers are 65, 209, 558, 959

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 65, 209, 558, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 209, 558, 959 is 1.

Therefore, GCD of numbers 65, 209, 558, 959 is 1

Given Input Data is 65, 209, 558, 959

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 209 is 11 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 959 is 7 x 137

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(65, 209) = 13585

GCD(65, 209) = ( 65 x 209 ) / 13585

GCD(65, 209) = 13585 / 13585

GCD(65, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 65, 209, 558, 959 is 1

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1. What is the GCD of 65, 209, 558, 959?

GCD of 65, 209, 558, 959 is 1

2. Where do I get the detailed procedure to find GCD of 65, 209, 558, 959?

You can find a detailed procedure to find GCD of 65, 209, 558, 959 on our page.

3. How to find GCD of 65, 209, 558, 959 on a calculator?

You can find the GCD of 65, 209, 558, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.