GCD of 363, 720, 33, 714 Calculator

Given Input numbers are 363, 720, 33, 714

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 363, 720, 33, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 720, 33, 714 is 3.

Therefore, GCD of numbers 363, 720, 33, 714 is 3

Given Input Data is 363, 720, 33, 714

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

Prime Factorization of 363 is 3 x 11 x 11

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(363, 720) = 87120

GCD(363, 720) = ( 363 x 720 ) / 87120

GCD(363, 720) = 261360 / 87120

GCD(363, 720) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

GCD of 363, 720, 33, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 975, 88, 880
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• GCD of 780, 457, 48, 891

1. What is the GCD of 363, 720, 33, 714?

GCD of 363, 720, 33, 714 is 3

2. Where do I get the detailed procedure to find GCD of 363, 720, 33, 714?

You can find a detailed procedure to find GCD of 363, 720, 33, 714 on our page.

3. How to find GCD of 363, 720, 33, 714 on a calculator?

You can find the GCD of 363, 720, 33, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.