GCD of 669, 288, 742 Calculator

Given Input numbers are 669, 288, 742

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 669, 288, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 288, 742 is 1.

Therefore, GCD of numbers 669, 288, 742 is 1

Given Input Data is 669, 288, 742

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 742 is 2 x 7 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(669, 288) = 64224

GCD(669, 288) = ( 669 x 288 ) / 64224

GCD(669, 288) = 192672 / 64224

GCD(669, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

GCD of 669, 288, 742 is 1

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1. What is the GCD of 669, 288, 742?

GCD of 669, 288, 742 is 1

2. Where do I get the detailed procedure to find GCD of 669, 288, 742?

You can find a detailed procedure to find GCD of 669, 288, 742 on our page.

3. How to find GCD of 669, 288, 742 on a calculator?

You can find the GCD of 669, 288, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.