GCD of 59, 728, 119, 303 Calculator

Given Input numbers are 59, 728, 119, 303

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

Divisors of 59

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

1, 59

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 59, 728, 119, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 728, 119, 303 is 1.

Therefore, GCD of numbers 59, 728, 119, 303 is 1

Given Input Data is 59, 728, 119, 303

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

Prime Factorization of 59 is 59

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 119 is 7 x 17

Prime Factorization of 303 is 3 x 101

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(59, 728) = 42952

GCD(59, 728) = ( 59 x 728 ) / 42952

GCD(59, 728) = 42952 / 42952

GCD(59, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 59, 728, 119, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 397, 458, 973
• GCD of 75, 535, 249, 727
• GCD of 59, 447, 445, 662
• GCD of 31, 230, 925, 792
• GCD of 98, 827, 812, 958

1. What is the GCD of 59, 728, 119, 303?

GCD of 59, 728, 119, 303 is 1

2. Where do I get the detailed procedure to find GCD of 59, 728, 119, 303?

You can find a detailed procedure to find GCD of 59, 728, 119, 303 on our page.

3. How to find GCD of 59, 728, 119, 303 on a calculator?

You can find the GCD of 59, 728, 119, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.