GCD of 802, 120, 232 Calculator

Given Input numbers are 802, 120, 232

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 802, 120, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 120, 232 is 2.

Therefore, GCD of numbers 802, 120, 232 is 2

Given Input Data is 802, 120, 232

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 120) = 48120

GCD(802, 120) = ( 802 x 120 ) / 48120

GCD(802, 120) = 96240 / 48120

GCD(802, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 802, 120, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 799, 236
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1. What is the GCD of 802, 120, 232?

GCD of 802, 120, 232 is 2

2. Where do I get the detailed procedure to find GCD of 802, 120, 232?

You can find a detailed procedure to find GCD of 802, 120, 232 on our page.

3. How to find GCD of 802, 120, 232 on a calculator?

You can find the GCD of 802, 120, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.