GCD of 494, 959, 856, 738 Calculator

Given Input numbers are 494, 959, 856, 738

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

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 494, 959, 856, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 959, 856, 738 is 1.

Therefore, GCD of numbers 494, 959, 856, 738 is 1

Given Input Data is 494, 959, 856, 738

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 959 is 7 x 137

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(494, 959) = 473746

GCD(494, 959) = ( 494 x 959 ) / 473746

GCD(494, 959) = 473746 / 473746

GCD(494, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 494, 959, 856, 738 is 1

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1. What is the GCD of 494, 959, 856, 738?

GCD of 494, 959, 856, 738 is 1

2. Where do I get the detailed procedure to find GCD of 494, 959, 856, 738?

You can find a detailed procedure to find GCD of 494, 959, 856, 738 on our page.

3. How to find GCD of 494, 959, 856, 738 on a calculator?

You can find the GCD of 494, 959, 856, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.