GCD of 513, 821, 884, 769 Calculator

Given Input numbers are 513, 821, 884, 769

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 769

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

1, 769

Greatest Common Divisior

We found the divisors of 513, 821, 884, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 821, 884, 769 is 1.

Therefore, GCD of numbers 513, 821, 884, 769 is 1

Given Input Data is 513, 821, 884, 769

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 821 is 821

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 769 is 769

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(513, 821) = 421173

GCD(513, 821) = ( 513 x 821 ) / 421173

GCD(513, 821) = 421173 / 421173

GCD(513, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 513, 821, 884, 769 is 1

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1. What is the GCD of 513, 821, 884, 769?

GCD of 513, 821, 884, 769 is 1

2. Where do I get the detailed procedure to find GCD of 513, 821, 884, 769?

You can find a detailed procedure to find GCD of 513, 821, 884, 769 on our page.

3. How to find GCD of 513, 821, 884, 769 on a calculator?

You can find the GCD of 513, 821, 884, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.