GCD of 257, 144, 59 Calculator

Given Input numbers are 257, 144, 59

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 257, 144, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 144, 59 is 1.

Therefore, GCD of numbers 257, 144, 59 is 1

Given Input Data is 257, 144, 59

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

Prime Factorization of 257 is 257

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 59 is 59

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(257, 144) = 37008

GCD(257, 144) = ( 257 x 144 ) / 37008

GCD(257, 144) = 37008 / 37008

GCD(257, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 257, 144, 59 is 1

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1. What is the GCD of 257, 144, 59?

GCD of 257, 144, 59 is 1

2. Where do I get the detailed procedure to find GCD of 257, 144, 59?

You can find a detailed procedure to find GCD of 257, 144, 59 on our page.

3. How to find GCD of 257, 144, 59 on a calculator?

You can find the GCD of 257, 144, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.