GCD of 316, 868, 44, 850 Calculator

Given Input numbers are 316, 868, 44, 850

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 316, 868, 44, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 868, 44, 850 is 2.

Therefore, GCD of numbers 316, 868, 44, 850 is 2

Given Input Data is 316, 868, 44, 850

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 44 is 2 x 2 x 11

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(316, 868) = 68572

GCD(316, 868) = ( 316 x 868 ) / 68572

GCD(316, 868) = 274288 / 68572

GCD(316, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 44

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

LCM(4, 44) = 44

GCD(4, 44) = ( 4 x 44 ) / 44

GCD(4, 44) = 176 / 44

GCD(4, 44) = 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 316, 868, 44, 850 is 2

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1. What is the GCD of 316, 868, 44, 850?

GCD of 316, 868, 44, 850 is 2

2. Where do I get the detailed procedure to find GCD of 316, 868, 44, 850?

You can find a detailed procedure to find GCD of 316, 868, 44, 850 on our page.

3. How to find GCD of 316, 868, 44, 850 on a calculator?

You can find the GCD of 316, 868, 44, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.