GCD of 690, 516, 927 Calculator

Given Input numbers are 690, 516, 927

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 927

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

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 690, 516, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 516, 927 is 3.

Therefore, GCD of numbers 690, 516, 927 is 3

Given Input Data is 690, 516, 927

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 927 is 3 x 3 x 103

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(690, 516) = 59340

GCD(690, 516) = ( 690 x 516 ) / 59340

GCD(690, 516) = 356040 / 59340

GCD(690, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 927

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

LCM(6, 927) = 1854

GCD(6, 927) = ( 6 x 927 ) / 1854

GCD(6, 927) = 5562 / 1854

GCD(6, 927) = 3

GCD of 690, 516, 927 is 3

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1. What is the GCD of 690, 516, 927?

GCD of 690, 516, 927 is 3

2. Where do I get the detailed procedure to find GCD of 690, 516, 927?

You can find a detailed procedure to find GCD of 690, 516, 927 on our page.

3. How to find GCD of 690, 516, 927 on a calculator?

You can find the GCD of 690, 516, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.