GCD of 314, 458, 58 Calculator

Given Input numbers are 314, 458, 58

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 314, 458, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 458, 58 is 2.

Therefore, GCD of numbers 314, 458, 58 is 2

Given Input Data is 314, 458, 58

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 458 is 2 x 229

Prime Factorization of 58 is 2 x 29

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(314, 458) = 71906

GCD(314, 458) = ( 314 x 458 ) / 71906

GCD(314, 458) = 143812 / 71906

GCD(314, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

GCD of 314, 458, 58 is 2

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1. What is the GCD of 314, 458, 58?

GCD of 314, 458, 58 is 2

2. Where do I get the detailed procedure to find GCD of 314, 458, 58?

You can find a detailed procedure to find GCD of 314, 458, 58 on our page.

3. How to find GCD of 314, 458, 58 on a calculator?

You can find the GCD of 314, 458, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.