Where do I get the detailed procedure to find GCD of 480, 820, 932?

You can find a detailed procedure to find GCD of 480, 820, 932 on our page.

How to find GCD of 480, 820, 932 on a calculator?

You can find the GCD of 480, 820, 932 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 480, 820, 932 Calculator

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

Online GCD Calculator is useful to find the GCD of 480, 820, 932 quickly. Get the easiest ways to solve the greatest common divisor of 480, 820, 932 i.e 4 in different methods as follows.

How to Find GCD of Numbers 480, 820, 932 with Factoring?

Given Input numbers are 480, 820, 932

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

GCD of numbers is the greatest common divisor

So, the GCD (480, 820, 932) = 4.

Find GCD of 480, 820, 932 using Prime Factorization

Given numbers are 480, 820, 932

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 932 are 2 x 2 x 233

The highest common occurrence is 2²

Therefore, GCD of 480, 820, 932 is 4.

Steps to Calculate GCD of 480, 820, 932 using LCM Formula

Given numbers are 480, 820, 932

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

Apply this formula for all numbers.

Step1:

LCM(480, 820) = 19680

GCD(480, 820) = ( 480 x 820 ) / 19680

= 480 / 820

= 480

Step2:

LCM(20, 932) = 4660

GCD(20, 932) = ( 20 x 932 ) / 4660

= 20 / 932

= 20

So, Greatest Common Divisor of 480, 820, 932 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 480, 820, 932

Given numbers are 480, 820, 932
The greatest common divisor of numbers 480, 820, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 820, 932 is 4.

FAQs on GCD of 480, 820, 932 Calculator

1. What is the GCD of 480, 820, 932?

GCD of given numbers 480, 820, 932 is 4

2. How to calculate the greatest common divisor of 480, 820, 932?

We can find the highest common divisor of 480, 820, 932 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 480, 820, 932 i.e 4.

3. How can I use the GCD of 480, 820, 932Calculator?

Out the numbers 480, 820, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.