GCD of 268, 752, 731 Calculator

Given Input numbers are 268, 752, 731

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 268, 752, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 752, 731 is 1.

Therefore, GCD of numbers 268, 752, 731 is 1

Given Input Data is 268, 752, 731

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(268, 752) = 50384

GCD(268, 752) = ( 268 x 752 ) / 50384

GCD(268, 752) = 201536 / 50384

GCD(268, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 731

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

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

GCD(4, 731) = 2924 / 2924

GCD(4, 731) = 1

GCD of 268, 752, 731 is 1

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1. What is the GCD of 268, 752, 731?

GCD of 268, 752, 731 is 1

2. Where do I get the detailed procedure to find GCD of 268, 752, 731?

You can find a detailed procedure to find GCD of 268, 752, 731 on our page.

3. How to find GCD of 268, 752, 731 on a calculator?

You can find the GCD of 268, 752, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.