Where do I get the detailed procedure to find GCD of 354, 180, 820?

You can find a detailed procedure to find GCD of 354, 180, 820 on our page.

How to find GCD of 354, 180, 820 on a calculator?

You can find the GCD of 354, 180, 820 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 354, 180, 820 Calculator

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

Online GCD Calculator is useful to find the GCD of 354, 180, 820 quickly. Get the easiest ways to solve the greatest common divisor of 354, 180, 820 i.e 2 in different methods as follows.

How to Find GCD of Numbers 354, 180, 820 with Factoring?

Given Input numbers are 354, 180, 820

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

GCD of numbers is the greatest common divisor

So, the GCD (354, 180, 820) = 2.

Find GCD of 354, 180, 820 using Prime Factorization

Given numbers are 354, 180, 820

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 354, 180, 820 is 2.

Steps to Calculate GCD of 354, 180, 820 using LCM Formula

Given numbers are 354, 180, 820

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

Apply this formula for all numbers.

Step1:

LCM(354, 180) = 10620

GCD(354, 180) = ( 354 x 180 ) / 10620

= 354 / 180

= 354

Step2:

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

= 6 / 820

= 6

So, Greatest Common Divisor of 354, 180, 820 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 354, 180, 820

Given numbers are 354, 180, 820
The greatest common divisor of numbers 354, 180, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 180, 820 is 2.

FAQs on GCD of 354, 180, 820 Calculator

1. What is the GCD of 354, 180, 820?

GCD of given numbers 354, 180, 820 is 2

2. How to calculate the greatest common divisor of 354, 180, 820?

We can find the highest common divisor of 354, 180, 820 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 354, 180, 820 i.e 2.

3. How can I use the GCD of 354, 180, 820Calculator?

Out the numbers 354, 180, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.