GCD of 334, 494, 40, 175 Calculator

Given Input numbers are 334, 494, 40, 175

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

Divisors of 334

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

1, 2, 167, 334

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 334, 494, 40, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 494, 40, 175 is 1.

Therefore, GCD of numbers 334, 494, 40, 175 is 1

Given Input Data is 334, 494, 40, 175

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 175 is 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(334, 494) = 82498

GCD(334, 494) = ( 334 x 494 ) / 82498

GCD(334, 494) = 164996 / 82498

GCD(334, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

GCD of 334, 494, 40, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 543, 68, 847
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• GCD of 848, 450, 41, 307
• GCD of 588, 665, 94, 518
• GCD of 739, 271, 13, 536

1. What is the GCD of 334, 494, 40, 175?

GCD of 334, 494, 40, 175 is 1

2. Where do I get the detailed procedure to find GCD of 334, 494, 40, 175?

You can find a detailed procedure to find GCD of 334, 494, 40, 175 on our page.

3. How to find GCD of 334, 494, 40, 175 on a calculator?

You can find the GCD of 334, 494, 40, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.