GCD of 540, 423, 83, 407 Calculator

Given Input numbers are 540, 423, 83, 407

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 540, 423, 83, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 423, 83, 407 is 1.

Therefore, GCD of numbers 540, 423, 83, 407 is 1

Given Input Data is 540, 423, 83, 407

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 423 is 3 x 3 x 47

Prime Factorization of 83 is 83

Prime Factorization of 407 is 11 x 37

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(540, 423) = 25380

GCD(540, 423) = ( 540 x 423 ) / 25380

GCD(540, 423) = 228420 / 25380

GCD(540, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 83

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

LCM(9, 83) = 747

GCD(9, 83) = ( 9 x 83 ) / 747

GCD(9, 83) = 747 / 747

GCD(9, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 540, 423, 83, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 209, 87, 437
• GCD of 712, 376, 18, 931
• GCD of 796, 741, 52, 243
• GCD of 374, 945, 92, 518
• GCD of 466, 769, 14, 191

1. What is the GCD of 540, 423, 83, 407?

GCD of 540, 423, 83, 407 is 1

2. Where do I get the detailed procedure to find GCD of 540, 423, 83, 407?

You can find a detailed procedure to find GCD of 540, 423, 83, 407 on our page.

3. How to find GCD of 540, 423, 83, 407 on a calculator?

You can find the GCD of 540, 423, 83, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.