GCD of 474, 297, 685, 494 Calculator

Given Input numbers are 474, 297, 685, 494

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 494

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

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

Greatest Common Divisior

We found the divisors of 474, 297, 685, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 297, 685, 494 is 1.

Therefore, GCD of numbers 474, 297, 685, 494 is 1

Given Input Data is 474, 297, 685, 494

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 685 is 5 x 137

Prime Factorization of 494 is 2 x 13 x 19

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(474, 297) = 46926

GCD(474, 297) = ( 474 x 297 ) / 46926

GCD(474, 297) = 140778 / 46926

GCD(474, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 685

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

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

GCD(3, 685) = 2055 / 2055

GCD(3, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 474, 297, 685, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 868, 736, 901
• GCD of 863, 932, 194, 197
• GCD of 277, 528, 485, 141
• GCD of 594, 411, 978, 700
• GCD of 228, 430, 476, 869

1. What is the GCD of 474, 297, 685, 494?

GCD of 474, 297, 685, 494 is 1

2. Where do I get the detailed procedure to find GCD of 474, 297, 685, 494?

You can find a detailed procedure to find GCD of 474, 297, 685, 494 on our page.

3. How to find GCD of 474, 297, 685, 494 on a calculator?

You can find the GCD of 474, 297, 685, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.