GCD of 478, 598, 516, 467 Calculator

Given Input numbers are 478, 598, 516, 467

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 478, 598, 516, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 598, 516, 467 is 1.

Therefore, GCD of numbers 478, 598, 516, 467 is 1

Given Input Data is 478, 598, 516, 467

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 467 is 467

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(478, 598) = 142922

GCD(478, 598) = ( 478 x 598 ) / 142922

GCD(478, 598) = 285844 / 142922

GCD(478, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 478, 598, 516, 467 is 1

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1. What is the GCD of 478, 598, 516, 467?

GCD of 478, 598, 516, 467 is 1

2. Where do I get the detailed procedure to find GCD of 478, 598, 516, 467?

You can find a detailed procedure to find GCD of 478, 598, 516, 467 on our page.

3. How to find GCD of 478, 598, 516, 467 on a calculator?

You can find the GCD of 478, 598, 516, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.