Where do I get the detailed procedure to find GCD of 802, 456, 116?

You can find a detailed procedure to find GCD of 802, 456, 116 on our page.

How to find GCD of 802, 456, 116 on a calculator?

You can find the GCD of 802, 456, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 802, 456, 116 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 802, 456, 116 quickly. Get the easiest ways to solve the greatest common divisor of 802, 456, 116 i.e 2 in different methods as follows.

How to Find GCD of Numbers 802, 456, 116 with Factoring?

Given Input numbers are 802, 456, 116

In the factoring method, we have to find the divisors of all numbers

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (802, 456, 116) = 2.

Find GCD of 802, 456, 116 using Prime Factorization

Given numbers are 802, 456, 116

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 802, 456, 116 is 2.

Steps to Calculate GCD of 802, 456, 116 using LCM Formula

Given numbers are 802, 456, 116

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(802, 456) = 182856

GCD(802, 456) = ( 802 x 456 ) / 182856

= 802 / 456

= 802

Step2:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 802, 456, 116 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 802, 456, 116

Given numbers are 802, 456, 116
The greatest common divisor of numbers 802, 456, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 456, 116 is 2.

FAQs on GCD of 802, 456, 116 Calculator

1. What is the GCD of 802, 456, 116?

GCD of given numbers 802, 456, 116 is 2

2. How to calculate the greatest common divisor of 802, 456, 116?

We can find the highest common divisor of 802, 456, 116 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 802, 456, 116 i.e 2.

3. How can I use the GCD of 802, 456, 116Calculator?

Out the numbers 802, 456, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.