GCD of 703, 105, 78, 404 Calculator

Given Input numbers are 703, 105, 78, 404

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 703, 105, 78, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 105, 78, 404 is 1.

Therefore, GCD of numbers 703, 105, 78, 404 is 1

Given Input Data is 703, 105, 78, 404

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 404 is 2 x 2 x 101

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, 105) = 73815

GCD(703, 105) = ( 703 x 105 ) / 73815

GCD(703, 105) = 73815 / 73815

GCD(703, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 703, 105, 78, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 930, 57, 392
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• GCD of 858, 104, 10, 173
• GCD of 300, 504, 69, 836
• GCD of 700, 850, 76, 856

1. What is the GCD of 703, 105, 78, 404?

GCD of 703, 105, 78, 404 is 1

2. Where do I get the detailed procedure to find GCD of 703, 105, 78, 404?

You can find a detailed procedure to find GCD of 703, 105, 78, 404 on our page.

3. How to find GCD of 703, 105, 78, 404 on a calculator?

You can find the GCD of 703, 105, 78, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.