GCD of 868, 586, 176, 840 Calculator

Given Input numbers are 868, 586, 176, 840

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

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 868, 586, 176, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 586, 176, 840 is 2.

Therefore, GCD of numbers 868, 586, 176, 840 is 2

Given Input Data is 868, 586, 176, 840

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

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

Prime Factorization of 586 is 2 x 293

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(868, 586) = 254324

GCD(868, 586) = ( 868 x 586 ) / 254324

GCD(868, 586) = 508648 / 254324

GCD(868, 586) = 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 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 868, 586, 176, 840 is 2

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1. What is the GCD of 868, 586, 176, 840?

GCD of 868, 586, 176, 840 is 2

2. Where do I get the detailed procedure to find GCD of 868, 586, 176, 840?

You can find a detailed procedure to find GCD of 868, 586, 176, 840 on our page.

3. How to find GCD of 868, 586, 176, 840 on a calculator?

You can find the GCD of 868, 586, 176, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.