GCD of 802, 360, 220 Calculator

Given Input numbers are 802, 360, 220

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

Divisors of 802

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

1, 2, 401, 802

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 802, 360, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 360, 220 is 2.

Therefore, GCD of numbers 802, 360, 220 is 2

Given Input Data is 802, 360, 220

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(802, 360) = 144360

GCD(802, 360) = ( 802 x 360 ) / 144360

GCD(802, 360) = 288720 / 144360

GCD(802, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 802, 360, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 487, 596
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1. What is the GCD of 802, 360, 220?

GCD of 802, 360, 220 is 2

2. Where do I get the detailed procedure to find GCD of 802, 360, 220?

You can find a detailed procedure to find GCD of 802, 360, 220 on our page.

3. How to find GCD of 802, 360, 220 on a calculator?

You can find the GCD of 802, 360, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.