GCD of 276, 634, 280, 422 Calculator

Given Input numbers are 276, 634, 280, 422

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 276, 634, 280, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 634, 280, 422 is 2.

Therefore, GCD of numbers 276, 634, 280, 422 is 2

Given Input Data is 276, 634, 280, 422

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 634 is 2 x 317

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 422 is 2 x 211

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, 634) = 87492

GCD(276, 634) = ( 276 x 634 ) / 87492

GCD(276, 634) = 174984 / 87492

GCD(276, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

GCD of 276, 634, 280, 422 is 2

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1. What is the GCD of 276, 634, 280, 422?

GCD of 276, 634, 280, 422 is 2

2. Where do I get the detailed procedure to find GCD of 276, 634, 280, 422?

You can find a detailed procedure to find GCD of 276, 634, 280, 422 on our page.

3. How to find GCD of 276, 634, 280, 422 on a calculator?

You can find the GCD of 276, 634, 280, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.