GCD of 159, 861, 477 Calculator

Given Input numbers are 159, 861, 477

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 159, 861, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 861, 477 is 3.

Therefore, GCD of numbers 159, 861, 477 is 3

Given Input Data is 159, 861, 477

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 477 is 3 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 861) = 45633

GCD(159, 861) = ( 159 x 861 ) / 45633

GCD(159, 861) = 136899 / 45633

GCD(159, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

GCD of 159, 861, 477 is 3

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1. What is the GCD of 159, 861, 477?

GCD of 159, 861, 477 is 3

2. Where do I get the detailed procedure to find GCD of 159, 861, 477?

You can find a detailed procedure to find GCD of 159, 861, 477 on our page.

3. How to find GCD of 159, 861, 477 on a calculator?

You can find the GCD of 159, 861, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.