GCD of 573, 100, 966, 540 Calculator

Given Input numbers are 573, 100, 966, 540

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 573, 100, 966, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 100, 966, 540 is 1.

Therefore, GCD of numbers 573, 100, 966, 540 is 1

Given Input Data is 573, 100, 966, 540

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(573, 100) = 57300

GCD(573, 100) = ( 573 x 100 ) / 57300

GCD(573, 100) = 57300 / 57300

GCD(573, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 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 573, 100, 966, 540 is 1

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1. What is the GCD of 573, 100, 966, 540?

GCD of 573, 100, 966, 540 is 1

2. Where do I get the detailed procedure to find GCD of 573, 100, 966, 540?

You can find a detailed procedure to find GCD of 573, 100, 966, 540 on our page.

3. How to find GCD of 573, 100, 966, 540 on a calculator?

You can find the GCD of 573, 100, 966, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.