GCD of 501, 720, 45, 992 Calculator

Given Input numbers are 501, 720, 45, 992

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 501, 720, 45, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 720, 45, 992 is 1.

Therefore, GCD of numbers 501, 720, 45, 992 is 1

Given Input Data is 501, 720, 45, 992

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 45 is 3 x 3 x 5

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

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(501, 720) = 120240

GCD(501, 720) = ( 501 x 720 ) / 120240

GCD(501, 720) = 360720 / 120240

GCD(501, 720) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

GCD of 501, 720, 45, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 828, 68, 734
• GCD of 611, 953, 36, 408
• GCD of 165, 311, 86, 433
• GCD of 598, 577, 69, 389
• GCD of 166, 506, 73, 306

1. What is the GCD of 501, 720, 45, 992?

GCD of 501, 720, 45, 992 is 1

2. Where do I get the detailed procedure to find GCD of 501, 720, 45, 992?

You can find a detailed procedure to find GCD of 501, 720, 45, 992 on our page.

3. How to find GCD of 501, 720, 45, 992 on a calculator?

You can find the GCD of 501, 720, 45, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.