GCD of 927, 969, 57, 510 Calculator

Given Input numbers are 927, 969, 57, 510

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 927, 969, 57, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 969, 57, 510 is 3.

Therefore, GCD of numbers 927, 969, 57, 510 is 3

Given Input Data is 927, 969, 57, 510

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 57 is 3 x 19

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

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(927, 969) = 299421

GCD(927, 969) = ( 927 x 969 ) / 299421

GCD(927, 969) = 898263 / 299421

GCD(927, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 510

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

LCM(3, 510) = 510

GCD(3, 510) = ( 3 x 510 ) / 510

GCD(3, 510) = 1530 / 510

GCD(3, 510) = 3

GCD of 927, 969, 57, 510 is 3

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1. What is the GCD of 927, 969, 57, 510?

GCD of 927, 969, 57, 510 is 3

2. Where do I get the detailed procedure to find GCD of 927, 969, 57, 510?

You can find a detailed procedure to find GCD of 927, 969, 57, 510 on our page.

3. How to find GCD of 927, 969, 57, 510 on a calculator?

You can find the GCD of 927, 969, 57, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.