GCD of 141, 696, 18, 543 Calculator

Given Input numbers are 141, 696, 18, 543

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 141, 696, 18, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 696, 18, 543 is 3.

Therefore, GCD of numbers 141, 696, 18, 543 is 3

Given Input Data is 141, 696, 18, 543

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 141 is 3 x 47

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 543 is 3 x 181

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(141, 696) = 32712

GCD(141, 696) = ( 141 x 696 ) / 32712

GCD(141, 696) = 98136 / 32712

GCD(141, 696) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 543

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

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

GCD(3, 543) = 1629 / 543

GCD(3, 543) = 3

GCD of 141, 696, 18, 543 is 3

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1. What is the GCD of 141, 696, 18, 543?

GCD of 141, 696, 18, 543 is 3

2. Where do I get the detailed procedure to find GCD of 141, 696, 18, 543?

You can find a detailed procedure to find GCD of 141, 696, 18, 543 on our page.

3. How to find GCD of 141, 696, 18, 543 on a calculator?

You can find the GCD of 141, 696, 18, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.