GCD of 738, 580, 125, 289 Calculator

Given Input numbers are 738, 580, 125, 289

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 738, 580, 125, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 580, 125, 289 is 1.

Therefore, GCD of numbers 738, 580, 125, 289 is 1

Given Input Data is 738, 580, 125, 289

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 289 is 17 x 17

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(738, 580) = 214020

GCD(738, 580) = ( 738 x 580 ) / 214020

GCD(738, 580) = 428040 / 214020

GCD(738, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 738, 580, 125, 289 is 1

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1. What is the GCD of 738, 580, 125, 289?

GCD of 738, 580, 125, 289 is 1

2. Where do I get the detailed procedure to find GCD of 738, 580, 125, 289?

You can find a detailed procedure to find GCD of 738, 580, 125, 289 on our page.

3. How to find GCD of 738, 580, 125, 289 on a calculator?

You can find the GCD of 738, 580, 125, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.