GCD of 547, 564, 48, 318 Calculator

Given Input numbers are 547, 564, 48, 318

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 547, 564, 48, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 564, 48, 318 is 1.

Therefore, GCD of numbers 547, 564, 48, 318 is 1

Given Input Data is 547, 564, 48, 318

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

Prime Factorization of 547 is 547

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 318 is 2 x 3 x 53

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(547, 564) = 308508

GCD(547, 564) = ( 547 x 564 ) / 308508

GCD(547, 564) = 308508 / 308508

GCD(547, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 547, 564, 48, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 495, 13, 283
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• GCD of 193, 814, 10, 408
• GCD of 580, 239, 78, 103
• GCD of 536, 574, 76, 504

1. What is the GCD of 547, 564, 48, 318?

GCD of 547, 564, 48, 318 is 1

2. Where do I get the detailed procedure to find GCD of 547, 564, 48, 318?

You can find a detailed procedure to find GCD of 547, 564, 48, 318 on our page.

3. How to find GCD of 547, 564, 48, 318 on a calculator?

You can find the GCD of 547, 564, 48, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.