GCD of 735, 891, 493, 540 Calculator

Given Input numbers are 735, 891, 493, 540

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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

Greatest Common Divisior

We found the divisors of 735, 891, 493, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 891, 493, 540 is 1.

Therefore, GCD of numbers 735, 891, 493, 540 is 1

Given Input Data is 735, 891, 493, 540

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 493 is 17 x 29

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

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(735, 891) = 218295

GCD(735, 891) = ( 735 x 891 ) / 218295

GCD(735, 891) = 654885 / 218295

GCD(735, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 493

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

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

GCD(3, 493) = 1479 / 1479

GCD(3, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 735, 891, 493, 540 is 1

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1. What is the GCD of 735, 891, 493, 540?

GCD of 735, 891, 493, 540 is 1

2. Where do I get the detailed procedure to find GCD of 735, 891, 493, 540?

You can find a detailed procedure to find GCD of 735, 891, 493, 540 on our page.

3. How to find GCD of 735, 891, 493, 540 on a calculator?

You can find the GCD of 735, 891, 493, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.