GCD of 731, 495, 868, 959 Calculator

Given Input numbers are 731, 495, 868, 959

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

Divisors of 731

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

1, 17, 43, 731

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 731, 495, 868, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 495, 868, 959 is 1.

Therefore, GCD of numbers 731, 495, 868, 959 is 1

Given Input Data is 731, 495, 868, 959

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 959 is 7 x 137

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(731, 495) = 361845

GCD(731, 495) = ( 731 x 495 ) / 361845

GCD(731, 495) = 361845 / 361845

GCD(731, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 731, 495, 868, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 932, 101, 901
• GCD of 241, 190, 497, 419
• GCD of 227, 461, 905, 243
• GCD of 461, 984, 566, 694
• GCD of 568, 299, 207, 826

1. What is the GCD of 731, 495, 868, 959?

GCD of 731, 495, 868, 959 is 1

2. Where do I get the detailed procedure to find GCD of 731, 495, 868, 959?

You can find a detailed procedure to find GCD of 731, 495, 868, 959 on our page.

3. How to find GCD of 731, 495, 868, 959 on a calculator?

You can find the GCD of 731, 495, 868, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.