GCD of 288, 868, 974 Calculator

Given Input numbers are 288, 868, 974

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 288, 868, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 868, 974 is 2.

Therefore, GCD of numbers 288, 868, 974 is 2

Given Input Data is 288, 868, 974

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 974 is 2 x 487

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(288, 868) = 62496

GCD(288, 868) = ( 288 x 868 ) / 62496

GCD(288, 868) = 249984 / 62496

GCD(288, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 974

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

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

GCD(4, 974) = 3896 / 1948

GCD(4, 974) = 2

GCD of 288, 868, 974 is 2

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• GCD of 985, 556, 874
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1. What is the GCD of 288, 868, 974?

GCD of 288, 868, 974 is 2

2. Where do I get the detailed procedure to find GCD of 288, 868, 974?

You can find a detailed procedure to find GCD of 288, 868, 974 on our page.

3. How to find GCD of 288, 868, 974 on a calculator?

You can find the GCD of 288, 868, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.