GCD of 540, 263, 520, 105 Calculator

Given Input numbers are 540, 263, 520, 105

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

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 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 540, 263, 520, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 263, 520, 105 is 1.

Therefore, GCD of numbers 540, 263, 520, 105 is 1

Given Input Data is 540, 263, 520, 105

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

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

Prime Factorization of 263 is 263

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 105 is 3 x 5 x 7

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(540, 263) = 142020

GCD(540, 263) = ( 540 x 263 ) / 142020

GCD(540, 263) = 142020 / 142020

GCD(540, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 540, 263, 520, 105 is 1

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1. What is the GCD of 540, 263, 520, 105?

GCD of 540, 263, 520, 105 is 1

2. Where do I get the detailed procedure to find GCD of 540, 263, 520, 105?

You can find a detailed procedure to find GCD of 540, 263, 520, 105 on our page.

3. How to find GCD of 540, 263, 520, 105 on a calculator?

You can find the GCD of 540, 263, 520, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.