GCD of 848, 180, 954 Calculator

Given Input numbers are 848, 180, 954

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 848, 180, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 180, 954 is 2.

Therefore, GCD of numbers 848, 180, 954 is 2

Given Input Data is 848, 180, 954

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(848, 180) = 38160

GCD(848, 180) = ( 848 x 180 ) / 38160

GCD(848, 180) = 152640 / 38160

GCD(848, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 954

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

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

GCD(4, 954) = 3816 / 1908

GCD(4, 954) = 2

GCD of 848, 180, 954 is 2

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1. What is the GCD of 848, 180, 954?

GCD of 848, 180, 954 is 2

2. Where do I get the detailed procedure to find GCD of 848, 180, 954?

You can find a detailed procedure to find GCD of 848, 180, 954 on our page.

3. How to find GCD of 848, 180, 954 on a calculator?

You can find the GCD of 848, 180, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.