GCD of 992, 240, 573, 111 Calculator

Given Input numbers are 992, 240, 573, 111

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 573

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

1, 3, 191, 573

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 992, 240, 573, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 240, 573, 111 is 1.

Therefore, GCD of numbers 992, 240, 573, 111 is 1

Given Input Data is 992, 240, 573, 111

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 573 is 3 x 191

Prime Factorization of 111 is 3 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(992, 240) = 14880

GCD(992, 240) = ( 992 x 240 ) / 14880

GCD(992, 240) = 238080 / 14880

GCD(992, 240) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 573

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

LCM(16, 573) = 9168

GCD(16, 573) = ( 16 x 573 ) / 9168

GCD(16, 573) = 9168 / 9168

GCD(16, 573) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 992, 240, 573, 111 is 1

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1. What is the GCD of 992, 240, 573, 111?

GCD of 992, 240, 573, 111 is 1

2. Where do I get the detailed procedure to find GCD of 992, 240, 573, 111?

You can find a detailed procedure to find GCD of 992, 240, 573, 111 on our page.

3. How to find GCD of 992, 240, 573, 111 on a calculator?

You can find the GCD of 992, 240, 573, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.