GCD of 738, 814, 543 Calculator

Given Input numbers are 738, 814, 543

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 738, 814, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 814, 543 is 1.

Therefore, GCD of numbers 738, 814, 543 is 1

Given Input Data is 738, 814, 543

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 543 is 3 x 181

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(738, 814) = 300366

GCD(738, 814) = ( 738 x 814 ) / 300366

GCD(738, 814) = 600732 / 300366

GCD(738, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 543

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

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

GCD(2, 543) = 1086 / 1086

GCD(2, 543) = 1

GCD of 738, 814, 543 is 1

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• GCD of 600, 228, 446
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1. What is the GCD of 738, 814, 543?

GCD of 738, 814, 543 is 1

2. Where do I get the detailed procedure to find GCD of 738, 814, 543?

You can find a detailed procedure to find GCD of 738, 814, 543 on our page.

3. How to find GCD of 738, 814, 543 on a calculator?

You can find the GCD of 738, 814, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.