GCD of 579, 538, 48, 141 Calculator

Given Input numbers are 579, 538, 48, 141

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 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 579, 538, 48, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 538, 48, 141 is 1.

Therefore, GCD of numbers 579, 538, 48, 141 is 1

Given Input Data is 579, 538, 48, 141

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 538 is 2 x 269

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

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(579, 538) = 311502

GCD(579, 538) = ( 579 x 538 ) / 311502

GCD(579, 538) = 311502 / 311502

GCD(579, 538) = 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 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 579, 538, 48, 141 is 1

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1. What is the GCD of 579, 538, 48, 141?

GCD of 579, 538, 48, 141 is 1

2. Where do I get the detailed procedure to find GCD of 579, 538, 48, 141?

You can find a detailed procedure to find GCD of 579, 538, 48, 141 on our page.

3. How to find GCD of 579, 538, 48, 141 on a calculator?

You can find the GCD of 579, 538, 48, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.