GCD of 846, 644, 872, 454 Calculator

Given Input numbers are 846, 644, 872, 454

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 846, 644, 872, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 644, 872, 454 is 2.

Therefore, GCD of numbers 846, 644, 872, 454 is 2

Given Input Data is 846, 644, 872, 454

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 454 is 2 x 227

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(846, 644) = 272412

GCD(846, 644) = ( 846 x 644 ) / 272412

GCD(846, 644) = 544824 / 272412

GCD(846, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

GCD of 846, 644, 872, 454 is 2

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1. What is the GCD of 846, 644, 872, 454?

GCD of 846, 644, 872, 454 is 2

2. Where do I get the detailed procedure to find GCD of 846, 644, 872, 454?

You can find a detailed procedure to find GCD of 846, 644, 872, 454 on our page.

3. How to find GCD of 846, 644, 872, 454 on a calculator?

You can find the GCD of 846, 644, 872, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.