GCD of 460, 747, 578 Calculator

Given Input numbers are 460, 747, 578

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 747

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

1, 3, 9, 83, 249, 747

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 460, 747, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 747, 578 is 1.

Therefore, GCD of numbers 460, 747, 578 is 1

Given Input Data is 460, 747, 578

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 578 is 2 x 17 x 17

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(460, 747) = 343620

GCD(460, 747) = ( 460 x 747 ) / 343620

GCD(460, 747) = 343620 / 343620

GCD(460, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 460, 747, 578 is 1

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1. What is the GCD of 460, 747, 578?

GCD of 460, 747, 578 is 1

2. Where do I get the detailed procedure to find GCD of 460, 747, 578?

You can find a detailed procedure to find GCD of 460, 747, 578 on our page.

3. How to find GCD of 460, 747, 578 on a calculator?

You can find the GCD of 460, 747, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.