GCD of 294, 728, 190, 632 Calculator

Given Input numbers are 294, 728, 190, 632

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 294, 728, 190, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 728, 190, 632 is 2.

Therefore, GCD of numbers 294, 728, 190, 632 is 2

Given Input Data is 294, 728, 190, 632

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(294, 728) = 15288

GCD(294, 728) = ( 294 x 728 ) / 15288

GCD(294, 728) = 214032 / 15288

GCD(294, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 190

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

LCM(14, 190) = 1330

GCD(14, 190) = ( 14 x 190 ) / 1330

GCD(14, 190) = 2660 / 1330

GCD(14, 190) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 294, 728, 190, 632 is 2

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1. What is the GCD of 294, 728, 190, 632?

GCD of 294, 728, 190, 632 is 2

2. Where do I get the detailed procedure to find GCD of 294, 728, 190, 632?

You can find a detailed procedure to find GCD of 294, 728, 190, 632 on our page.

3. How to find GCD of 294, 728, 190, 632 on a calculator?

You can find the GCD of 294, 728, 190, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.