GCD of 543, 897, 924, 696 Calculator

Given Input numbers are 543, 897, 924, 696

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

Greatest Common Divisior

We found the divisors of 543, 897, 924, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 897, 924, 696 is 3.

Therefore, GCD of numbers 543, 897, 924, 696 is 3

Given Input Data is 543, 897, 924, 696

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

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(543, 897) = 162357

GCD(543, 897) = ( 543 x 897 ) / 162357

GCD(543, 897) = 487071 / 162357

GCD(543, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 924

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

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

GCD(3, 924) = 2772 / 924

GCD(3, 924) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

GCD of 543, 897, 924, 696 is 3

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1. What is the GCD of 543, 897, 924, 696?

GCD of 543, 897, 924, 696 is 3

2. Where do I get the detailed procedure to find GCD of 543, 897, 924, 696?

You can find a detailed procedure to find GCD of 543, 897, 924, 696 on our page.

3. How to find GCD of 543, 897, 924, 696 on a calculator?

You can find the GCD of 543, 897, 924, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.