GCD of 746, 872, 47, 513 Calculator

Given Input numbers are 746, 872, 47, 513

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 746, 872, 47, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 872, 47, 513 is 1.

Therefore, GCD of numbers 746, 872, 47, 513 is 1

Given Input Data is 746, 872, 47, 513

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 47 is 47

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(746, 872) = 325256

GCD(746, 872) = ( 746 x 872 ) / 325256

GCD(746, 872) = 650512 / 325256

GCD(746, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 746, 872, 47, 513 is 1

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1. What is the GCD of 746, 872, 47, 513?

GCD of 746, 872, 47, 513 is 1

2. Where do I get the detailed procedure to find GCD of 746, 872, 47, 513?

You can find a detailed procedure to find GCD of 746, 872, 47, 513 on our page.

3. How to find GCD of 746, 872, 47, 513 on a calculator?

You can find the GCD of 746, 872, 47, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.