GCD of 703, 494, 740, 446 Calculator

Given Input numbers are 703, 494, 740, 446

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 703, 494, 740, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 494, 740, 446 is 1.

Therefore, GCD of numbers 703, 494, 740, 446 is 1

Given Input Data is 703, 494, 740, 446

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 446 is 2 x 223

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(703, 494) = 18278

GCD(703, 494) = ( 703 x 494 ) / 18278

GCD(703, 494) = 347282 / 18278

GCD(703, 494) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 740

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

LCM(19, 740) = 14060

GCD(19, 740) = ( 19 x 740 ) / 14060

GCD(19, 740) = 14060 / 14060

GCD(19, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 703, 494, 740, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 281, 433, 771
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• GCD of 465, 629, 704, 459

1. What is the GCD of 703, 494, 740, 446?

GCD of 703, 494, 740, 446 is 1

2. Where do I get the detailed procedure to find GCD of 703, 494, 740, 446?

You can find a detailed procedure to find GCD of 703, 494, 740, 446 on our page.

3. How to find GCD of 703, 494, 740, 446 on a calculator?

You can find the GCD of 703, 494, 740, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.