GCD of 442, 460, 950, 703 Calculator

Given Input numbers are 442, 460, 950, 703

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 703

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

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 442, 460, 950, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 460, 950, 703 is 1.

Therefore, GCD of numbers 442, 460, 950, 703 is 1

Given Input Data is 442, 460, 950, 703

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 703 is 19 x 37

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(442, 460) = 101660

GCD(442, 460) = ( 442 x 460 ) / 101660

GCD(442, 460) = 203320 / 101660

GCD(442, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

GCD of 442, 460, 950, 703 is 1

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1. What is the GCD of 442, 460, 950, 703?

GCD of 442, 460, 950, 703 is 1

2. Where do I get the detailed procedure to find GCD of 442, 460, 950, 703?

You can find a detailed procedure to find GCD of 442, 460, 950, 703 on our page.

3. How to find GCD of 442, 460, 950, 703 on a calculator?

You can find the GCD of 442, 460, 950, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.