GCD of 574, 548, 15, 347 Calculator

Given Input numbers are 574, 548, 15, 347

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 574, 548, 15, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 548, 15, 347 is 1.

Therefore, GCD of numbers 574, 548, 15, 347 is 1

Given Input Data is 574, 548, 15, 347

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 15 is 3 x 5

Prime Factorization of 347 is 347

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(574, 548) = 157276

GCD(574, 548) = ( 574 x 548 ) / 157276

GCD(574, 548) = 314552 / 157276

GCD(574, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 574, 548, 15, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 510, 69, 828
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• GCD of 554, 748, 90, 190

1. What is the GCD of 574, 548, 15, 347?

GCD of 574, 548, 15, 347 is 1

2. Where do I get the detailed procedure to find GCD of 574, 548, 15, 347?

You can find a detailed procedure to find GCD of 574, 548, 15, 347 on our page.

3. How to find GCD of 574, 548, 15, 347 on a calculator?

You can find the GCD of 574, 548, 15, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.