GCD of 703, 361, 462, 941 Calculator

Given Input numbers are 703, 361, 462, 941

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 703, 361, 462, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 361, 462, 941 is 1.

Therefore, GCD of numbers 703, 361, 462, 941 is 1

Given Input Data is 703, 361, 462, 941

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 361 is 19 x 19

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 941 is 941

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, 361) = 13357

GCD(703, 361) = ( 703 x 361 ) / 13357

GCD(703, 361) = 253783 / 13357

GCD(703, 361) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 462

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

LCM(19, 462) = 8778

GCD(19, 462) = ( 19 x 462 ) / 8778

GCD(19, 462) = 8778 / 8778

GCD(19, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

GCD of 703, 361, 462, 941 is 1

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1. What is the GCD of 703, 361, 462, 941?

GCD of 703, 361, 462, 941 is 1

2. Where do I get the detailed procedure to find GCD of 703, 361, 462, 941?

You can find a detailed procedure to find GCD of 703, 361, 462, 941 on our page.

3. How to find GCD of 703, 361, 462, 941 on a calculator?

You can find the GCD of 703, 361, 462, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.