GCD of 564, 129, 381, 693 Calculator

Given Input numbers are 564, 129, 381, 693

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 564, 129, 381, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 129, 381, 693 is 3.

Therefore, GCD of numbers 564, 129, 381, 693 is 3

Given Input Data is 564, 129, 381, 693

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 129 is 3 x 43

Prime Factorization of 381 is 3 x 127

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(564, 129) = 24252

GCD(564, 129) = ( 564 x 129 ) / 24252

GCD(564, 129) = 72756 / 24252

GCD(564, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 693

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

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

GCD(3, 693) = 2079 / 693

GCD(3, 693) = 3

GCD of 564, 129, 381, 693 is 3

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1. What is the GCD of 564, 129, 381, 693?

GCD of 564, 129, 381, 693 is 3

2. Where do I get the detailed procedure to find GCD of 564, 129, 381, 693?

You can find a detailed procedure to find GCD of 564, 129, 381, 693 on our page.

3. How to find GCD of 564, 129, 381, 693 on a calculator?

You can find the GCD of 564, 129, 381, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.