GCD of 720, 730, 552 Calculator

Given Input numbers are 720, 730, 552

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 720, 730, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 730, 552 is 2.

Therefore, GCD of numbers 720, 730, 552 is 2

Given Input Data is 720, 730, 552

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 730 is 2 x 5 x 73

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 730) = 52560

GCD(720, 730) = ( 720 x 730 ) / 52560

GCD(720, 730) = 525600 / 52560

GCD(720, 730) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 552

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

LCM(10, 552) = 2760

GCD(10, 552) = ( 10 x 552 ) / 2760

GCD(10, 552) = 5520 / 2760

GCD(10, 552) = 2

GCD of 720, 730, 552 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 937, 347
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• GCD of 288, 804, 829
• GCD of 206, 541, 874
• GCD of 643, 661, 591

1. What is the GCD of 720, 730, 552?

GCD of 720, 730, 552 is 2

2. Where do I get the detailed procedure to find GCD of 720, 730, 552?

You can find a detailed procedure to find GCD of 720, 730, 552 on our page.

3. How to find GCD of 720, 730, 552 on a calculator?

You can find the GCD of 720, 730, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.