GCD of 543, 141, 996, 169 Calculator

Given Input numbers are 543, 141, 996, 169

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

Divisors of 543

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

1, 3, 181, 543

Divisors of 141

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

1, 3, 47, 141

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 543, 141, 996, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 141, 996, 169 is 1.

Therefore, GCD of numbers 543, 141, 996, 169 is 1

Given Input Data is 543, 141, 996, 169

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 141 is 3 x 47

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 169 is 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(543, 141) = 25521

GCD(543, 141) = ( 543 x 141 ) / 25521

GCD(543, 141) = 76563 / 25521

GCD(543, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 169

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

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

GCD(3, 169) = 507 / 507

GCD(3, 169) = 1

GCD of 543, 141, 996, 169 is 1

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1. What is the GCD of 543, 141, 996, 169?

GCD of 543, 141, 996, 169 is 1

2. Where do I get the detailed procedure to find GCD of 543, 141, 996, 169?

You can find a detailed procedure to find GCD of 543, 141, 996, 169 on our page.

3. How to find GCD of 543, 141, 996, 169 on a calculator?

You can find the GCD of 543, 141, 996, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.