GCD of 579, 771, 51, 849 Calculator

Given Input numbers are 579, 771, 51, 849

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 579, 771, 51, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 771, 51, 849 is 3.

Therefore, GCD of numbers 579, 771, 51, 849 is 3

Given Input Data is 579, 771, 51, 849

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 771 is 3 x 257

Prime Factorization of 51 is 3 x 17

Prime Factorization of 849 is 3 x 283

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(579, 771) = 148803

GCD(579, 771) = ( 579 x 771 ) / 148803

GCD(579, 771) = 446409 / 148803

GCD(579, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

GCD of 579, 771, 51, 849 is 3

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1. What is the GCD of 579, 771, 51, 849?

GCD of 579, 771, 51, 849 is 3

2. Where do I get the detailed procedure to find GCD of 579, 771, 51, 849?

You can find a detailed procedure to find GCD of 579, 771, 51, 849 on our page.

3. How to find GCD of 579, 771, 51, 849 on a calculator?

You can find the GCD of 579, 771, 51, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.