GCD of 504, 546, 533, 141 Calculator

Given Input numbers are 504, 546, 533, 141

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 504, 546, 533, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 546, 533, 141 is 1.

Therefore, GCD of numbers 504, 546, 533, 141 is 1

Given Input Data is 504, 546, 533, 141

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 533 is 13 x 41

Prime Factorization of 141 is 3 x 47

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(504, 546) = 6552

GCD(504, 546) = ( 504 x 546 ) / 6552

GCD(504, 546) = 275184 / 6552

GCD(504, 546) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 533

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

LCM(42, 533) = 22386

GCD(42, 533) = ( 42 x 533 ) / 22386

GCD(42, 533) = 22386 / 22386

GCD(42, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 504, 546, 533, 141 is 1

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1. What is the GCD of 504, 546, 533, 141?

GCD of 504, 546, 533, 141 is 1

2. Where do I get the detailed procedure to find GCD of 504, 546, 533, 141?

You can find a detailed procedure to find GCD of 504, 546, 533, 141 on our page.

3. How to find GCD of 504, 546, 533, 141 on a calculator?

You can find the GCD of 504, 546, 533, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.