GCD of 749, 999, 65, 540 Calculator

Given Input numbers are 749, 999, 65, 540

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 749, 999, 65, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 999, 65, 540 is 1.

Therefore, GCD of numbers 749, 999, 65, 540 is 1

Given Input Data is 749, 999, 65, 540

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 65 is 5 x 13

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(749, 999) = 748251

GCD(749, 999) = ( 749 x 999 ) / 748251

GCD(749, 999) = 748251 / 748251

GCD(749, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 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 749, 999, 65, 540 is 1

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1. What is the GCD of 749, 999, 65, 540?

GCD of 749, 999, 65, 540 is 1

2. Where do I get the detailed procedure to find GCD of 749, 999, 65, 540?

You can find a detailed procedure to find GCD of 749, 999, 65, 540 on our page.

3. How to find GCD of 749, 999, 65, 540 on a calculator?

You can find the GCD of 749, 999, 65, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.