GCD of 540, 207, 630 Calculator

Given Input numbers are 540, 207, 630

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 207

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

1, 3, 9, 23, 69, 207

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 540, 207, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 207, 630 is 9.

Therefore, GCD of numbers 540, 207, 630 is 9

Given Input Data is 540, 207, 630

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(540, 207) = 12420

GCD(540, 207) = ( 540 x 207 ) / 12420

GCD(540, 207) = 111780 / 12420

GCD(540, 207) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 630

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

LCM(9, 630) = 630

GCD(9, 630) = ( 9 x 630 ) / 630

GCD(9, 630) = 5670 / 630

GCD(9, 630) = 9

GCD of 540, 207, 630 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 271, 555
• GCD of 205, 790, 738
• GCD of 982, 874, 351
• GCD of 209, 994, 532
• GCD of 387, 600, 661

1. What is the GCD of 540, 207, 630?

GCD of 540, 207, 630 is 9

2. Where do I get the detailed procedure to find GCD of 540, 207, 630?

You can find a detailed procedure to find GCD of 540, 207, 630 on our page.

3. How to find GCD of 540, 207, 630 on a calculator?

You can find the GCD of 540, 207, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.