GCD of 672, 207, 66, 609 Calculator

Given Input numbers are 672, 207, 66, 609

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 672, 207, 66, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 207, 66, 609 is 3.

Therefore, GCD of numbers 672, 207, 66, 609 is 3

Given Input Data is 672, 207, 66, 609

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 609 is 3 x 7 x 29

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(672, 207) = 46368

GCD(672, 207) = ( 672 x 207 ) / 46368

GCD(672, 207) = 139104 / 46368

GCD(672, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 609

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

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

GCD(3, 609) = 1827 / 609

GCD(3, 609) = 3

GCD of 672, 207, 66, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 293, 27, 345
• GCD of 550, 221, 93, 429
• GCD of 721, 700, 51, 996
• GCD of 671, 581, 52, 234
• GCD of 436, 602, 55, 498

1. What is the GCD of 672, 207, 66, 609?

GCD of 672, 207, 66, 609 is 3

2. Where do I get the detailed procedure to find GCD of 672, 207, 66, 609?

You can find a detailed procedure to find GCD of 672, 207, 66, 609 on our page.

3. How to find GCD of 672, 207, 66, 609 on a calculator?

You can find the GCD of 672, 207, 66, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.