GCD of 318, 741, 59, 637 Calculator

Given Input numbers are 318, 741, 59, 637

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 59

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

1, 59

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 318, 741, 59, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 741, 59, 637 is 1.

Therefore, GCD of numbers 318, 741, 59, 637 is 1

Given Input Data is 318, 741, 59, 637

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 59 is 59

Prime Factorization of 637 is 7 x 7 x 13

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(318, 741) = 78546

GCD(318, 741) = ( 318 x 741 ) / 78546

GCD(318, 741) = 235638 / 78546

GCD(318, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 318, 741, 59, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 596, 52, 479
• GCD of 451, 582, 61, 780
• GCD of 640, 547, 62, 701
• GCD of 967, 957, 48, 315
• GCD of 898, 276, 17, 183

1. What is the GCD of 318, 741, 59, 637?

GCD of 318, 741, 59, 637 is 1

2. Where do I get the detailed procedure to find GCD of 318, 741, 59, 637?

You can find a detailed procedure to find GCD of 318, 741, 59, 637 on our page.

3. How to find GCD of 318, 741, 59, 637 on a calculator?

You can find the GCD of 318, 741, 59, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.