Where do I get the detailed procedure to find GCD of 321, 180, 948?

You can find a detailed procedure to find GCD of 321, 180, 948 on our page.

How to find GCD of 321, 180, 948 on a calculator?

You can find the GCD of 321, 180, 948 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 321, 180, 948 Calculator

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

Online GCD Calculator is useful to find the GCD of 321, 180, 948 quickly. Get the easiest ways to solve the greatest common divisor of 321, 180, 948 i.e 3 in different methods as follows.

How to Find GCD of Numbers 321, 180, 948 with Factoring?

Given Input numbers are 321, 180, 948

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (321, 180, 948) = 3.

Find GCD of 321, 180, 948 using Prime Factorization

Given numbers are 321, 180, 948

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

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

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 321, 180, 948 is 3.

Steps to Calculate GCD of 321, 180, 948 using LCM Formula

Given numbers are 321, 180, 948

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

Apply this formula for all numbers.

Step1:

LCM(321, 180) = 19260

GCD(321, 180) = ( 321 x 180 ) / 19260

= 321 / 180

= 321

Step2:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

So, Greatest Common Divisor of 321, 180, 948 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 321, 180, 948

Given numbers are 321, 180, 948
The greatest common divisor of numbers 321, 180, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 180, 948 is 3.

FAQs on GCD of 321, 180, 948 Calculator

1. What is the GCD of 321, 180, 948?

GCD of given numbers 321, 180, 948 is 3

2. How to calculate the greatest common divisor of 321, 180, 948?

We can find the highest common divisor of 321, 180, 948 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 321, 180, 948 i.e 3.

3. How can I use the GCD of 321, 180, 948Calculator?

Out the numbers 321, 180, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.