GCD of 540, 527, 51, 169 Calculator

Given Input numbers are 540, 527, 51, 169

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 540, 527, 51, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 527, 51, 169 is 1.

Therefore, GCD of numbers 540, 527, 51, 169 is 1

Given Input Data is 540, 527, 51, 169

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 527 is 17 x 31

Prime Factorization of 51 is 3 x 17

Prime Factorization of 169 is 13 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(540, 527) = 284580

GCD(540, 527) = ( 540 x 527 ) / 284580

GCD(540, 527) = 284580 / 284580

GCD(540, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 540, 527, 51, 169 is 1

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• GCD of 452, 173, 34, 388
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1. What is the GCD of 540, 527, 51, 169?

GCD of 540, 527, 51, 169 is 1

2. Where do I get the detailed procedure to find GCD of 540, 527, 51, 169?

You can find a detailed procedure to find GCD of 540, 527, 51, 169 on our page.

3. How to find GCD of 540, 527, 51, 169 on a calculator?

You can find the GCD of 540, 527, 51, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.