GCD of 548, 814, 600, 482 Calculator

Given Input numbers are 548, 814, 600, 482

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 814

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

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 548, 814, 600, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 814, 600, 482 is 2.

Therefore, GCD of numbers 548, 814, 600, 482 is 2

Given Input Data is 548, 814, 600, 482

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 814 is 2 x 11 x 37

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 482 is 2 x 241

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 814) = 223036

GCD(548, 814) = ( 548 x 814 ) / 223036

GCD(548, 814) = 446072 / 223036

GCD(548, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 482

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

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

GCD(2, 482) = 964 / 482

GCD(2, 482) = 2

GCD of 548, 814, 600, 482 is 2

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1. What is the GCD of 548, 814, 600, 482?

GCD of 548, 814, 600, 482 is 2

2. Where do I get the detailed procedure to find GCD of 548, 814, 600, 482?

You can find a detailed procedure to find GCD of 548, 814, 600, 482 on our page.

3. How to find GCD of 548, 814, 600, 482 on a calculator?

You can find the GCD of 548, 814, 600, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.