GCD of 902, 988, 288, 684 Calculator

Given Input numbers are 902, 988, 288, 684

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 902, 988, 288, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 988, 288, 684 is 2.

Therefore, GCD of numbers 902, 988, 288, 684 is 2

Given Input Data is 902, 988, 288, 684

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(902, 988) = 445588

GCD(902, 988) = ( 902 x 988 ) / 445588

GCD(902, 988) = 891176 / 445588

GCD(902, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 902, 988, 288, 684 is 2

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1. What is the GCD of 902, 988, 288, 684?

GCD of 902, 988, 288, 684 is 2

2. Where do I get the detailed procedure to find GCD of 902, 988, 288, 684?

You can find a detailed procedure to find GCD of 902, 988, 288, 684 on our page.

3. How to find GCD of 902, 988, 288, 684 on a calculator?

You can find the GCD of 902, 988, 288, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.