GCD of 720, 297, 891, 993 Calculator

Given Input numbers are 720, 297, 891, 993

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

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

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

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 720, 297, 891, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 297, 891, 993 is 3.

Therefore, GCD of numbers 720, 297, 891, 993 is 3

Given Input Data is 720, 297, 891, 993

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

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

Prime Factorization of 993 is 3 x 331

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(720, 297) = 23760

GCD(720, 297) = ( 720 x 297 ) / 23760

GCD(720, 297) = 213840 / 23760

GCD(720, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 891

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

LCM(9, 891) = 891

GCD(9, 891) = ( 9 x 891 ) / 891

GCD(9, 891) = 8019 / 891

GCD(9, 891) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 993

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

LCM(9, 993) = 2979

GCD(9, 993) = ( 9 x 993 ) / 2979

GCD(9, 993) = 8937 / 2979

GCD(9, 993) = 3

GCD of 720, 297, 891, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 582, 662, 728
• GCD of 404, 579, 738, 857
• GCD of 506, 422, 618, 731
• GCD of 166, 437, 240, 324
• GCD of 714, 123, 785, 366

1. What is the GCD of 720, 297, 891, 993?

GCD of 720, 297, 891, 993 is 3

2. Where do I get the detailed procedure to find GCD of 720, 297, 891, 993?

You can find a detailed procedure to find GCD of 720, 297, 891, 993 on our page.

3. How to find GCD of 720, 297, 891, 993 on a calculator?

You can find the GCD of 720, 297, 891, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.