GCD of 672, 387, 45, 209 Calculator

Given Input numbers are 672, 387, 45, 209

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 672, 387, 45, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 387, 45, 209 is 1.

Therefore, GCD of numbers 672, 387, 45, 209 is 1

Given Input Data is 672, 387, 45, 209

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 387 is 3 x 3 x 43

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 209 is 11 x 19

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(672, 387) = 86688

GCD(672, 387) = ( 672 x 387 ) / 86688

GCD(672, 387) = 260064 / 86688

GCD(672, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 209

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

LCM(3, 209) = 627

GCD(3, 209) = ( 3 x 209 ) / 627

GCD(3, 209) = 627 / 627

GCD(3, 209) = 1

GCD of 672, 387, 45, 209 is 1

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1. What is the GCD of 672, 387, 45, 209?

GCD of 672, 387, 45, 209 is 1

2. Where do I get the detailed procedure to find GCD of 672, 387, 45, 209?

You can find a detailed procedure to find GCD of 672, 387, 45, 209 on our page.

3. How to find GCD of 672, 387, 45, 209 on a calculator?

You can find the GCD of 672, 387, 45, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.