GCD of 434, 364, 510 Calculator

Given Input numbers are 434, 364, 510

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 434, 364, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 364, 510 is 2.

Therefore, GCD of numbers 434, 364, 510 is 2

Given Input Data is 434, 364, 510

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

Prime Factorization of 434 is 2 x 7 x 31

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(434, 364) = 11284

GCD(434, 364) = ( 434 x 364 ) / 11284

GCD(434, 364) = 157976 / 11284

GCD(434, 364) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 510

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

LCM(14, 510) = 3570

GCD(14, 510) = ( 14 x 510 ) / 3570

GCD(14, 510) = 7140 / 3570

GCD(14, 510) = 2

GCD of 434, 364, 510 is 2

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1. What is the GCD of 434, 364, 510?

GCD of 434, 364, 510 is 2

2. Where do I get the detailed procedure to find GCD of 434, 364, 510?

You can find a detailed procedure to find GCD of 434, 364, 510 on our page.

3. How to find GCD of 434, 364, 510 on a calculator?

You can find the GCD of 434, 364, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.