GCD of 543, 143, 96, 676 Calculator

Given Input numbers are 543, 143, 96, 676

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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 543, 143, 96, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 143, 96, 676 is 1.

Therefore, GCD of numbers 543, 143, 96, 676 is 1

Given Input Data is 543, 143, 96, 676

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 143 is 11 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 676 is 2 x 2 x 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, 143) = 77649

GCD(543, 143) = ( 543 x 143 ) / 77649

GCD(543, 143) = 77649 / 77649

GCD(543, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 543, 143, 96, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 805, 30, 269
• GCD of 900, 568, 58, 518
• GCD of 687, 151, 14, 611
• GCD of 976, 909, 97, 532
• GCD of 151, 686, 11, 311

1. What is the GCD of 543, 143, 96, 676?

GCD of 543, 143, 96, 676 is 1

2. Where do I get the detailed procedure to find GCD of 543, 143, 96, 676?

You can find a detailed procedure to find GCD of 543, 143, 96, 676 on our page.

3. How to find GCD of 543, 143, 96, 676 on a calculator?

You can find the GCD of 543, 143, 96, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.