GCD of 490, 372, 82, 334 Calculator

Given Input numbers are 490, 372, 82, 334

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

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 490, 372, 82, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 372, 82, 334 is 2.

Therefore, GCD of numbers 490, 372, 82, 334 is 2

Given Input Data is 490, 372, 82, 334

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

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 82 is 2 x 41

Prime Factorization of 334 is 2 x 167

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(490, 372) = 91140

GCD(490, 372) = ( 490 x 372 ) / 91140

GCD(490, 372) = 182280 / 91140

GCD(490, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 490, 372, 82, 334 is 2

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• GCD of 421, 224, 58, 537
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1. What is the GCD of 490, 372, 82, 334?

GCD of 490, 372, 82, 334 is 2

2. Where do I get the detailed procedure to find GCD of 490, 372, 82, 334?

You can find a detailed procedure to find GCD of 490, 372, 82, 334 on our page.

3. How to find GCD of 490, 372, 82, 334 on a calculator?

You can find the GCD of 490, 372, 82, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.