GCD of 159, 424, 29, 618 Calculator

Given Input numbers are 159, 424, 29, 618

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

Divisors of 159

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

1, 3, 53, 159

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 159, 424, 29, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 424, 29, 618 is 1.

Therefore, GCD of numbers 159, 424, 29, 618 is 1

Given Input Data is 159, 424, 29, 618

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 29 is 29

Prime Factorization of 618 is 2 x 3 x 103

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(159, 424) = 1272

GCD(159, 424) = ( 159 x 424 ) / 1272

GCD(159, 424) = 67416 / 1272

GCD(159, 424) = 53

Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 29

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

LCM(53, 29) = 1537

GCD(53, 29) = ( 53 x 29 ) / 1537

GCD(53, 29) = 1537 / 1537

GCD(53, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 159, 424, 29, 618 is 1

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1. What is the GCD of 159, 424, 29, 618?

GCD of 159, 424, 29, 618 is 1

2. Where do I get the detailed procedure to find GCD of 159, 424, 29, 618?

You can find a detailed procedure to find GCD of 159, 424, 29, 618 on our page.

3. How to find GCD of 159, 424, 29, 618 on a calculator?

You can find the GCD of 159, 424, 29, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.