GCD of 699, 636, 969 Calculator

Given Input numbers are 699, 636, 969

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 969

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

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

Greatest Common Divisior

We found the divisors of 699, 636, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 636, 969 is 3.

Therefore, GCD of numbers 699, 636, 969 is 3

Given Input Data is 699, 636, 969

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 969 is 3 x 17 x 19

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(699, 636) = 148188

GCD(699, 636) = ( 699 x 636 ) / 148188

GCD(699, 636) = 444564 / 148188

GCD(699, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 969

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

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

GCD(3, 969) = 2907 / 969

GCD(3, 969) = 3

GCD of 699, 636, 969 is 3

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1. What is the GCD of 699, 636, 969?

GCD of 699, 636, 969 is 3

2. Where do I get the detailed procedure to find GCD of 699, 636, 969?

You can find a detailed procedure to find GCD of 699, 636, 969 on our page.

3. How to find GCD of 699, 636, 969 on a calculator?

You can find the GCD of 699, 636, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.