GCD of 442, 420, 50, 276 Calculator

Given Input numbers are 442, 420, 50, 276

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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

Greatest Common Divisior

We found the divisors of 442, 420, 50, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 420, 50, 276 is 2.

Therefore, GCD of numbers 442, 420, 50, 276 is 2

Given Input Data is 442, 420, 50, 276

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 50 is 2 x 5 x 5

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

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(442, 420) = 92820

GCD(442, 420) = ( 442 x 420 ) / 92820

GCD(442, 420) = 185640 / 92820

GCD(442, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

GCD of 442, 420, 50, 276 is 2

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1. What is the GCD of 442, 420, 50, 276?

GCD of 442, 420, 50, 276 is 2

2. Where do I get the detailed procedure to find GCD of 442, 420, 50, 276?

You can find a detailed procedure to find GCD of 442, 420, 50, 276 on our page.

3. How to find GCD of 442, 420, 50, 276 on a calculator?

You can find the GCD of 442, 420, 50, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.