GCD of 458, 490, 364 Calculator

Given Input numbers are 458, 490, 364

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

Divisors of 458

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

1, 2, 229, 458

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 458, 490, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 490, 364 is 2.

Therefore, GCD of numbers 458, 490, 364 is 2

Given Input Data is 458, 490, 364

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(458, 490) = 112210

GCD(458, 490) = ( 458 x 490 ) / 112210

GCD(458, 490) = 224420 / 112210

GCD(458, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 458, 490, 364 is 2

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1. What is the GCD of 458, 490, 364?

GCD of 458, 490, 364 is 2

2. Where do I get the detailed procedure to find GCD of 458, 490, 364?

You can find a detailed procedure to find GCD of 458, 490, 364 on our page.

3. How to find GCD of 458, 490, 364 on a calculator?

You can find the GCD of 458, 490, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.