GCD of 429, 676, 65, 510 Calculator

Given Input numbers are 429, 676, 65, 510

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 429, 676, 65, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 676, 65, 510 is 1.

Therefore, GCD of numbers 429, 676, 65, 510 is 1

Given Input Data is 429, 676, 65, 510

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 65 is 5 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

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(429, 676) = 22308

GCD(429, 676) = ( 429 x 676 ) / 22308

GCD(429, 676) = 290004 / 22308

GCD(429, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 65

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

LCM(13, 65) = 65

GCD(13, 65) = ( 13 x 65 ) / 65

GCD(13, 65) = 845 / 65

GCD(13, 65) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 510

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

LCM(13, 510) = 6630

GCD(13, 510) = ( 13 x 510 ) / 6630

GCD(13, 510) = 6630 / 6630

GCD(13, 510) = 1

GCD of 429, 676, 65, 510 is 1

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1. What is the GCD of 429, 676, 65, 510?

GCD of 429, 676, 65, 510 is 1

2. Where do I get the detailed procedure to find GCD of 429, 676, 65, 510?

You can find a detailed procedure to find GCD of 429, 676, 65, 510 on our page.

3. How to find GCD of 429, 676, 65, 510 on a calculator?

You can find the GCD of 429, 676, 65, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.