GCD of 720, 462, 711 Calculator

Given Input numbers are 720, 462, 711

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 720, 462, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 462, 711 is 3.

Therefore, GCD of numbers 720, 462, 711 is 3

Given Input Data is 720, 462, 711

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 462 is 2 x 3 x 7 x 11

Prime Factorization of 711 is 3 x 3 x 79

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, 462) = 55440

GCD(720, 462) = ( 720 x 462 ) / 55440

GCD(720, 462) = 332640 / 55440

GCD(720, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 711

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

LCM(6, 711) = 1422

GCD(6, 711) = ( 6 x 711 ) / 1422

GCD(6, 711) = 4266 / 1422

GCD(6, 711) = 3

GCD of 720, 462, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 493, 951
• GCD of 343, 187, 316
• GCD of 666, 820, 794
• GCD of 771, 315, 785
• GCD of 670, 799, 558

1. What is the GCD of 720, 462, 711?

GCD of 720, 462, 711 is 3

2. Where do I get the detailed procedure to find GCD of 720, 462, 711?

You can find a detailed procedure to find GCD of 720, 462, 711 on our page.

3. How to find GCD of 720, 462, 711 on a calculator?

You can find the GCD of 720, 462, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.