GCD of 260, 678, 96, 902 Calculator

Given Input numbers are 260, 678, 96, 902

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 902

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

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

Greatest Common Divisior

We found the divisors of 260, 678, 96, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 678, 96, 902 is 2.

Therefore, GCD of numbers 260, 678, 96, 902 is 2

Given Input Data is 260, 678, 96, 902

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 902 is 2 x 11 x 41

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(260, 678) = 88140

GCD(260, 678) = ( 260 x 678 ) / 88140

GCD(260, 678) = 176280 / 88140

GCD(260, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

GCD of 260, 678, 96, 902 is 2

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1. What is the GCD of 260, 678, 96, 902?

GCD of 260, 678, 96, 902 is 2

2. Where do I get the detailed procedure to find GCD of 260, 678, 96, 902?

You can find a detailed procedure to find GCD of 260, 678, 96, 902 on our page.

3. How to find GCD of 260, 678, 96, 902 on a calculator?

You can find the GCD of 260, 678, 96, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.