GCD of 349, 731, 793, 900 Calculator

Given Input numbers are 349, 731, 793, 900

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 731

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

1, 17, 43, 731

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 349, 731, 793, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 731, 793, 900 is 1.

Therefore, GCD of numbers 349, 731, 793, 900 is 1

Given Input Data is 349, 731, 793, 900

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

Prime Factorization of 349 is 349

Prime Factorization of 731 is 17 x 43

Prime Factorization of 793 is 13 x 61

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(349, 731) = 255119

GCD(349, 731) = ( 349 x 731 ) / 255119

GCD(349, 731) = 255119 / 255119

GCD(349, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 349, 731, 793, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 169, 782, 689
• GCD of 231, 827, 139, 362
• GCD of 220, 373, 691, 694
• GCD of 255, 101, 908, 547
• GCD of 515, 322, 470, 330

1. What is the GCD of 349, 731, 793, 900?

GCD of 349, 731, 793, 900 is 1

2. Where do I get the detailed procedure to find GCD of 349, 731, 793, 900?

You can find a detailed procedure to find GCD of 349, 731, 793, 900 on our page.

3. How to find GCD of 349, 731, 793, 900 on a calculator?

You can find the GCD of 349, 731, 793, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.