GCD of 489, 769, 65, 429 Calculator

Given Input numbers are 489, 769, 65, 429

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 65

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

1, 5, 13, 65

Divisors of 429

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

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

Greatest Common Divisior

We found the divisors of 489, 769, 65, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 769, 65, 429 is 1.

Therefore, GCD of numbers 489, 769, 65, 429 is 1

Given Input Data is 489, 769, 65, 429

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 769 is 769

Prime Factorization of 65 is 5 x 13

Prime Factorization of 429 is 3 x 11 x 13

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(489, 769) = 376041

GCD(489, 769) = ( 489 x 769 ) / 376041

GCD(489, 769) = 376041 / 376041

GCD(489, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 489, 769, 65, 429 is 1

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1. What is the GCD of 489, 769, 65, 429?

GCD of 489, 769, 65, 429 is 1

2. Where do I get the detailed procedure to find GCD of 489, 769, 65, 429?

You can find a detailed procedure to find GCD of 489, 769, 65, 429 on our page.

3. How to find GCD of 489, 769, 65, 429 on a calculator?

You can find the GCD of 489, 769, 65, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.