GCD of 217, 540, 46, 104 Calculator

Given Input numbers are 217, 540, 46, 104

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 217, 540, 46, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 540, 46, 104 is 1.

Therefore, GCD of numbers 217, 540, 46, 104 is 1

Given Input Data is 217, 540, 46, 104

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 46 is 2 x 23

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(217, 540) = 117180

GCD(217, 540) = ( 217 x 540 ) / 117180

GCD(217, 540) = 117180 / 117180

GCD(217, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 217, 540, 46, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 461, 10, 303
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• GCD of 265, 395, 74, 369

1. What is the GCD of 217, 540, 46, 104?

GCD of 217, 540, 46, 104 is 1

2. Where do I get the detailed procedure to find GCD of 217, 540, 46, 104?

You can find a detailed procedure to find GCD of 217, 540, 46, 104 on our page.

3. How to find GCD of 217, 540, 46, 104 on a calculator?

You can find the GCD of 217, 540, 46, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.