GCD of 10, 584, 176, 864 Calculator

Given Input numbers are 10, 584, 176, 864

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 10, 584, 176, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 584, 176, 864 is 2.

Therefore, GCD of numbers 10, 584, 176, 864 is 2

Given Input Data is 10, 584, 176, 864

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(10, 584) = 2920

GCD(10, 584) = ( 10 x 584 ) / 2920

GCD(10, 584) = 5840 / 2920

GCD(10, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 176

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

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

GCD(2, 176) = 352 / 176

GCD(2, 176) = 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 10, 584, 176, 864 is 2

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1. What is the GCD of 10, 584, 176, 864?

GCD of 10, 584, 176, 864 is 2

2. Where do I get the detailed procedure to find GCD of 10, 584, 176, 864?

You can find a detailed procedure to find GCD of 10, 584, 176, 864 on our page.

3. How to find GCD of 10, 584, 176, 864 on a calculator?

You can find the GCD of 10, 584, 176, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.