GCD of 202, 590, 102, 464 Calculator

Given Input numbers are 202, 590, 102, 464

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 202, 590, 102, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 590, 102, 464 is 2.

Therefore, GCD of numbers 202, 590, 102, 464 is 2

Given Input Data is 202, 590, 102, 464

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 464 is 2 x 2 x 2 x 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(202, 590) = 59590

GCD(202, 590) = ( 202 x 590 ) / 59590

GCD(202, 590) = 119180 / 59590

GCD(202, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 202, 590, 102, 464 is 2

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1. What is the GCD of 202, 590, 102, 464?

GCD of 202, 590, 102, 464 is 2

2. Where do I get the detailed procedure to find GCD of 202, 590, 102, 464?

You can find a detailed procedure to find GCD of 202, 590, 102, 464 on our page.

3. How to find GCD of 202, 590, 102, 464 on a calculator?

You can find the GCD of 202, 590, 102, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.