GCD of 350, 836, 856, 864 Calculator

Given Input numbers are 350, 836, 856, 864

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 350, 836, 856, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 836, 856, 864 is 2.

Therefore, GCD of numbers 350, 836, 856, 864 is 2

Given Input Data is 350, 836, 856, 864

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(350, 836) = 146300

GCD(350, 836) = ( 350 x 836 ) / 146300

GCD(350, 836) = 292600 / 146300

GCD(350, 836) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 350, 836, 856, 864 is 2

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1. What is the GCD of 350, 836, 856, 864?

GCD of 350, 836, 856, 864 is 2

2. Where do I get the detailed procedure to find GCD of 350, 836, 856, 864?

You can find a detailed procedure to find GCD of 350, 836, 856, 864 on our page.

3. How to find GCD of 350, 836, 856, 864 on a calculator?

You can find the GCD of 350, 836, 856, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.