GCD of 540, 219, 359, 771 Calculator

Given Input numbers are 540, 219, 359, 771

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 540, 219, 359, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 219, 359, 771 is 1.

Therefore, GCD of numbers 540, 219, 359, 771 is 1

Given Input Data is 540, 219, 359, 771

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 219 is 3 x 73

Prime Factorization of 359 is 359

Prime Factorization of 771 is 3 x 257

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, 219) = 39420

GCD(540, 219) = ( 540 x 219 ) / 39420

GCD(540, 219) = 118260 / 39420

GCD(540, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 359

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

LCM(3, 359) = 1077

GCD(3, 359) = ( 3 x 359 ) / 1077

GCD(3, 359) = 1077 / 1077

GCD(3, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 540, 219, 359, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 850, 716, 186
• GCD of 973, 693, 985, 463
• GCD of 577, 870, 866, 255
• GCD of 746, 970, 944, 538
• GCD of 482, 865, 282, 639

1. What is the GCD of 540, 219, 359, 771?

GCD of 540, 219, 359, 771 is 1

2. Where do I get the detailed procedure to find GCD of 540, 219, 359, 771?

You can find a detailed procedure to find GCD of 540, 219, 359, 771 on our page.

3. How to find GCD of 540, 219, 359, 771 on a calculator?

You can find the GCD of 540, 219, 359, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.