Where do I get the detailed procedure to find GCD of 546, 143, 364?

You can find a detailed procedure to find GCD of 546, 143, 364 on our page.

How to find GCD of 546, 143, 364 on a calculator?

You can find the GCD of 546, 143, 364 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 546, 143, 364 Calculator

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

Online GCD Calculator is useful to find the GCD of 546, 143, 364 quickly. Get the easiest ways to solve the greatest common divisor of 546, 143, 364 i.e 13 in different methods as follows.

How to Find GCD of Numbers 546, 143, 364 with Factoring?

Given Input numbers are 546, 143, 364

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

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (546, 143, 364) = 13.

Find GCD of 546, 143, 364 using Prime Factorization

Given numbers are 546, 143, 364

The list of prime factors of all numbers are

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 143 are 11 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 13¹

Therefore, GCD of 546, 143, 364 is 13.

Steps to Calculate GCD of 546, 143, 364 using LCM Formula

Given numbers are 546, 143, 364

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

Apply this formula for all numbers.

Step1:

LCM(546, 143) = 6006

GCD(546, 143) = ( 546 x 143 ) / 6006

= 546 / 143

= 546

Step2:

LCM(13, 364) = 364

GCD(13, 364) = ( 13 x 364 ) / 364

= 13 / 364

= 13

So, Greatest Common Divisor of 546, 143, 364 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 546, 143, 364

Given numbers are 546, 143, 364
The greatest common divisor of numbers 546, 143, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 143, 364 is 13.

FAQs on GCD of 546, 143, 364 Calculator

1. What is the GCD of 546, 143, 364?

GCD of given numbers 546, 143, 364 is 13

2. How to calculate the greatest common divisor of 546, 143, 364?

We can find the highest common divisor of 546, 143, 364 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 546, 143, 364 i.e 13.

3. How can I use the GCD of 546, 143, 364Calculator?

Out the numbers 546, 143, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.