GCD of 202, 290, 460 Calculator

Given Input numbers are 202, 290, 460

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

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

Greatest Common Divisior

We found the divisors of 202, 290, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 290, 460 is 2.

Therefore, GCD of numbers 202, 290, 460 is 2

Given Input Data is 202, 290, 460

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 290 is 2 x 5 x 29

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

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(202, 290) = 29290

GCD(202, 290) = ( 202 x 290 ) / 29290

GCD(202, 290) = 58580 / 29290

GCD(202, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 202, 290, 460 is 2

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1. What is the GCD of 202, 290, 460?

GCD of 202, 290, 460 is 2

2. Where do I get the detailed procedure to find GCD of 202, 290, 460?

You can find a detailed procedure to find GCD of 202, 290, 460 on our page.

3. How to find GCD of 202, 290, 460 on a calculator?

You can find the GCD of 202, 290, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.