GCD of 747, 508, 260, 293 Calculator

Given Input numbers are 747, 508, 260, 293

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 747, 508, 260, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 508, 260, 293 is 1.

Therefore, GCD of numbers 747, 508, 260, 293 is 1

Given Input Data is 747, 508, 260, 293

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 293 is 293

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(747, 508) = 379476

GCD(747, 508) = ( 747 x 508 ) / 379476

GCD(747, 508) = 379476 / 379476

GCD(747, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 747, 508, 260, 293 is 1

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1. What is the GCD of 747, 508, 260, 293?

GCD of 747, 508, 260, 293 is 1

2. Where do I get the detailed procedure to find GCD of 747, 508, 260, 293?

You can find a detailed procedure to find GCD of 747, 508, 260, 293 on our page.

3. How to find GCD of 747, 508, 260, 293 on a calculator?

You can find the GCD of 747, 508, 260, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.