GCD of 868, 232, 608, 986 Calculator

Given Input numbers are 868, 232, 608, 986

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 868, 232, 608, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 232, 608, 986 is 2.

Therefore, GCD of numbers 868, 232, 608, 986 is 2

Given Input Data is 868, 232, 608, 986

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 232 is 2 x 2 x 2 x 29

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 986 is 2 x 17 x 29

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, 232) = 50344

GCD(868, 232) = ( 868 x 232 ) / 50344

GCD(868, 232) = 201376 / 50344

GCD(868, 232) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 608

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

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

GCD(4, 608) = 2432 / 608

GCD(4, 608) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 986

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

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

GCD(4, 986) = 3944 / 1972

GCD(4, 986) = 2

GCD of 868, 232, 608, 986 is 2

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1. What is the GCD of 868, 232, 608, 986?

GCD of 868, 232, 608, 986 is 2

2. Where do I get the detailed procedure to find GCD of 868, 232, 608, 986?

You can find a detailed procedure to find GCD of 868, 232, 608, 986 on our page.

3. How to find GCD of 868, 232, 608, 986 on a calculator?

You can find the GCD of 868, 232, 608, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.