GCD of 669, 687, 738 Calculator

Given Input numbers are 669, 687, 738

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 669, 687, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 687, 738 is 3.

Therefore, GCD of numbers 669, 687, 738 is 3

Given Input Data is 669, 687, 738

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 687 is 3 x 229

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(669, 687) = 153201

GCD(669, 687) = ( 669 x 687 ) / 153201

GCD(669, 687) = 459603 / 153201

GCD(669, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 738

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

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

GCD(3, 738) = 2214 / 738

GCD(3, 738) = 3

GCD of 669, 687, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 225, 918
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1. What is the GCD of 669, 687, 738?

GCD of 669, 687, 738 is 3

2. Where do I get the detailed procedure to find GCD of 669, 687, 738?

You can find a detailed procedure to find GCD of 669, 687, 738 on our page.

3. How to find GCD of 669, 687, 738 on a calculator?

You can find the GCD of 669, 687, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.