GCD of 512, 144, 884, 850 Calculator

Given Input numbers are 512, 144, 884, 850

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 512, 144, 884, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 144, 884, 850 is 2.

Therefore, GCD of numbers 512, 144, 884, 850 is 2

Given Input Data is 512, 144, 884, 850

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(512, 144) = 4608

GCD(512, 144) = ( 512 x 144 ) / 4608

GCD(512, 144) = 73728 / 4608

GCD(512, 144) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 884

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

LCM(16, 884) = 3536

GCD(16, 884) = ( 16 x 884 ) / 3536

GCD(16, 884) = 14144 / 3536

GCD(16, 884) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 850

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

LCM(4, 850) = 1700

GCD(4, 850) = ( 4 x 850 ) / 1700

GCD(4, 850) = 3400 / 1700

GCD(4, 850) = 2

GCD of 512, 144, 884, 850 is 2

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1. What is the GCD of 512, 144, 884, 850?

GCD of 512, 144, 884, 850 is 2

2. Where do I get the detailed procedure to find GCD of 512, 144, 884, 850?

You can find a detailed procedure to find GCD of 512, 144, 884, 850 on our page.

3. How to find GCD of 512, 144, 884, 850 on a calculator?

You can find the GCD of 512, 144, 884, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.