GCD of 598, 460, 524, 214 Calculator

Given Input numbers are 598, 460, 524, 214

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

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 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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 598, 460, 524, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 460, 524, 214 is 2.

Therefore, GCD of numbers 598, 460, 524, 214 is 2

Given Input Data is 598, 460, 524, 214

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

Prime Factorization of 598 is 2 x 13 x 23

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 214 is 2 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(598, 460) = 5980

GCD(598, 460) = ( 598 x 460 ) / 5980

GCD(598, 460) = 275080 / 5980

GCD(598, 460) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 524

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

LCM(46, 524) = 12052

GCD(46, 524) = ( 46 x 524 ) / 12052

GCD(46, 524) = 24104 / 12052

GCD(46, 524) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 598, 460, 524, 214 is 2

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1. What is the GCD of 598, 460, 524, 214?

GCD of 598, 460, 524, 214 is 2

2. Where do I get the detailed procedure to find GCD of 598, 460, 524, 214?

You can find a detailed procedure to find GCD of 598, 460, 524, 214 on our page.

3. How to find GCD of 598, 460, 524, 214 on a calculator?

You can find the GCD of 598, 460, 524, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.