GCD of 748, 901, 731 Calculator

Given Input numbers are 748, 901, 731

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

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 748, 901, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 901, 731 is 17.

Therefore, GCD of numbers 748, 901, 731 is 17

Given Input Data is 748, 901, 731

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 901 is 17 x 53

Prime Factorization of 731 is 17 x 43

Highest common occurrences in the given inputs are 17¹

Multiplying them we get the GCD as 17

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(748, 901) = 39644

GCD(748, 901) = ( 748 x 901 ) / 39644

GCD(748, 901) = 673948 / 39644

GCD(748, 901) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 731

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

LCM(17, 731) = 731

GCD(17, 731) = ( 17 x 731 ) / 731

GCD(17, 731) = 12427 / 731

GCD(17, 731) = 17

GCD of 748, 901, 731 is 17

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 224, 636
• GCD of 208, 803, 820
• GCD of 187, 419, 680
• GCD of 900, 384, 568
• GCD of 797, 270, 233

1. What is the GCD of 748, 901, 731?

GCD of 748, 901, 731 is 17

2. Where do I get the detailed procedure to find GCD of 748, 901, 731?

You can find a detailed procedure to find GCD of 748, 901, 731 on our page.

3. How to find GCD of 748, 901, 731 on a calculator?

You can find the GCD of 748, 901, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.