GCD of 428, 543, 341 Calculator

Given Input numbers are 428, 543, 341

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 543

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

1, 3, 181, 543

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 428, 543, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 543, 341 is 1.

Therefore, GCD of numbers 428, 543, 341 is 1

Given Input Data is 428, 543, 341

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 543 is 3 x 181

Prime Factorization of 341 is 11 x 31

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(428, 543) = 232404

GCD(428, 543) = ( 428 x 543 ) / 232404

GCD(428, 543) = 232404 / 232404

GCD(428, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 428, 543, 341 is 1

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1. What is the GCD of 428, 543, 341?

GCD of 428, 543, 341 is 1

2. Where do I get the detailed procedure to find GCD of 428, 543, 341?

You can find a detailed procedure to find GCD of 428, 543, 341 on our page.

3. How to find GCD of 428, 543, 341 on a calculator?

You can find the GCD of 428, 543, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.