GCD of 294, 490, 372, 524 Calculator

Given Input numbers are 294, 490, 372, 524

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 294, 490, 372, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 490, 372, 524 is 2.

Therefore, GCD of numbers 294, 490, 372, 524 is 2

Given Input Data is 294, 490, 372, 524

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 490 is 2 x 5 x 7 x 7

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 524 is 2 x 2 x 131

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, 490) = 1470

GCD(294, 490) = ( 294 x 490 ) / 1470

GCD(294, 490) = 144060 / 1470

GCD(294, 490) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 372

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

LCM(98, 372) = 18228

GCD(98, 372) = ( 98 x 372 ) / 18228

GCD(98, 372) = 36456 / 18228

GCD(98, 372) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 294, 490, 372, 524 is 2

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1. What is the GCD of 294, 490, 372, 524?

GCD of 294, 490, 372, 524 is 2

2. Where do I get the detailed procedure to find GCD of 294, 490, 372, 524?

You can find a detailed procedure to find GCD of 294, 490, 372, 524 on our page.

3. How to find GCD of 294, 490, 372, 524 on a calculator?

You can find the GCD of 294, 490, 372, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.