GCD of 276, 656, 898 Calculator

Given Input numbers are 276, 656, 898

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 276, 656, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 656, 898 is 2.

Therefore, GCD of numbers 276, 656, 898 is 2

Given Input Data is 276, 656, 898

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 898 is 2 x 449

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(276, 656) = 45264

GCD(276, 656) = ( 276 x 656 ) / 45264

GCD(276, 656) = 181056 / 45264

GCD(276, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 898

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

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

GCD(4, 898) = 3592 / 1796

GCD(4, 898) = 2

GCD of 276, 656, 898 is 2

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1. What is the GCD of 276, 656, 898?

GCD of 276, 656, 898 is 2

2. Where do I get the detailed procedure to find GCD of 276, 656, 898?

You can find a detailed procedure to find GCD of 276, 656, 898 on our page.

3. How to find GCD of 276, 656, 898 on a calculator?

You can find the GCD of 276, 656, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.