GCD of 354, 255, 315, 548 Calculator

Given Input numbers are 354, 255, 315, 548

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 548

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

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 354, 255, 315, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 255, 315, 548 is 1.

Therefore, GCD of numbers 354, 255, 315, 548 is 1

Given Input Data is 354, 255, 315, 548

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 548 is 2 x 2 x 137

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(354, 255) = 30090

GCD(354, 255) = ( 354 x 255 ) / 30090

GCD(354, 255) = 90270 / 30090

GCD(354, 255) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 315

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

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

GCD(3, 315) = 945 / 315

GCD(3, 315) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 548

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

LCM(3, 548) = 1644

GCD(3, 548) = ( 3 x 548 ) / 1644

GCD(3, 548) = 1644 / 1644

GCD(3, 548) = 1

GCD of 354, 255, 315, 548 is 1

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1. What is the GCD of 354, 255, 315, 548?

GCD of 354, 255, 315, 548 is 1

2. Where do I get the detailed procedure to find GCD of 354, 255, 315, 548?

You can find a detailed procedure to find GCD of 354, 255, 315, 548 on our page.

3. How to find GCD of 354, 255, 315, 548 on a calculator?

You can find the GCD of 354, 255, 315, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.