GCD of 276, 982, 460, 894 Calculator

Given Input numbers are 276, 982, 460, 894

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 276, 982, 460, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 982, 460, 894 is 2.

Therefore, GCD of numbers 276, 982, 460, 894 is 2

Given Input Data is 276, 982, 460, 894

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 982 is 2 x 491

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 894 is 2 x 3 x 149

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, 982) = 135516

GCD(276, 982) = ( 276 x 982 ) / 135516

GCD(276, 982) = 271032 / 135516

GCD(276, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 276, 982, 460, 894 is 2

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1. What is the GCD of 276, 982, 460, 894?

GCD of 276, 982, 460, 894 is 2

2. Where do I get the detailed procedure to find GCD of 276, 982, 460, 894?

You can find a detailed procedure to find GCD of 276, 982, 460, 894 on our page.

3. How to find GCD of 276, 982, 460, 894 on a calculator?

You can find the GCD of 276, 982, 460, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.