GCD of 59, 319, 975, 731 Calculator

Given Input numbers are 59, 319, 975, 731

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 59, 319, 975, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 319, 975, 731 is 1.

Therefore, GCD of numbers 59, 319, 975, 731 is 1

Given Input Data is 59, 319, 975, 731

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

Prime Factorization of 59 is 59

Prime Factorization of 319 is 11 x 29

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 731 is 17 x 43

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, 319) = 18821

GCD(59, 319) = ( 59 x 319 ) / 18821

GCD(59, 319) = 18821 / 18821

GCD(59, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 59, 319, 975, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 163, 175, 872
• GCD of 48, 449, 759, 555
• GCD of 89, 745, 294, 203
• GCD of 39, 250, 642, 275
• GCD of 32, 497, 875, 930

1. What is the GCD of 59, 319, 975, 731?

GCD of 59, 319, 975, 731 is 1

2. Where do I get the detailed procedure to find GCD of 59, 319, 975, 731?

You can find a detailed procedure to find GCD of 59, 319, 975, 731 on our page.

3. How to find GCD of 59, 319, 975, 731 on a calculator?

You can find the GCD of 59, 319, 975, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.