GCD of 548, 731, 543, 458 Calculator

Given Input numbers are 548, 731, 543, 458

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 543

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

1, 3, 181, 543

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 548, 731, 543, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 731, 543, 458 is 1.

Therefore, GCD of numbers 548, 731, 543, 458 is 1

Given Input Data is 548, 731, 543, 458

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 731 is 17 x 43

Prime Factorization of 543 is 3 x 181

Prime Factorization of 458 is 2 x 229

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(548, 731) = 400588

GCD(548, 731) = ( 548 x 731 ) / 400588

GCD(548, 731) = 400588 / 400588

GCD(548, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 548, 731, 543, 458 is 1

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1. What is the GCD of 548, 731, 543, 458?

GCD of 548, 731, 543, 458 is 1

2. Where do I get the detailed procedure to find GCD of 548, 731, 543, 458?

You can find a detailed procedure to find GCD of 548, 731, 543, 458 on our page.

3. How to find GCD of 548, 731, 543, 458 on a calculator?

You can find the GCD of 548, 731, 543, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.