GCD of 147, 539, 23, 159 Calculator

Given Input numbers are 147, 539, 23, 159

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 147, 539, 23, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 539, 23, 159 is 1.

Therefore, GCD of numbers 147, 539, 23, 159 is 1

Given Input Data is 147, 539, 23, 159

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 23 is 23

Prime Factorization of 159 is 3 x 53

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(147, 539) = 1617

GCD(147, 539) = ( 147 x 539 ) / 1617

GCD(147, 539) = 79233 / 1617

GCD(147, 539) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 23

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

LCM(49, 23) = 1127

GCD(49, 23) = ( 49 x 23 ) / 1127

GCD(49, 23) = 1127 / 1127

GCD(49, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 147, 539, 23, 159 is 1

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1. What is the GCD of 147, 539, 23, 159?

GCD of 147, 539, 23, 159 is 1

2. Where do I get the detailed procedure to find GCD of 147, 539, 23, 159?

You can find a detailed procedure to find GCD of 147, 539, 23, 159 on our page.

3. How to find GCD of 147, 539, 23, 159 on a calculator?

You can find the GCD of 147, 539, 23, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.