GCD of 724, 222, 802, 480 Calculator

Given Input numbers are 724, 222, 802, 480

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 724, 222, 802, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 222, 802, 480 is 2.

Therefore, GCD of numbers 724, 222, 802, 480 is 2

Given Input Data is 724, 222, 802, 480

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 802 is 2 x 401

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(724, 222) = 80364

GCD(724, 222) = ( 724 x 222 ) / 80364

GCD(724, 222) = 160728 / 80364

GCD(724, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 724, 222, 802, 480 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 344, 554, 805, 626

1. What is the GCD of 724, 222, 802, 480?

GCD of 724, 222, 802, 480 is 2

2. Where do I get the detailed procedure to find GCD of 724, 222, 802, 480?

You can find a detailed procedure to find GCD of 724, 222, 802, 480 on our page.

3. How to find GCD of 724, 222, 802, 480 on a calculator?

You can find the GCD of 724, 222, 802, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.