GCD of 404, 700, 15, 994 Calculator

Given Input numbers are 404, 700, 15, 994

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

Divisors of 404

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

1, 2, 4, 101, 202, 404

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 404, 700, 15, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 700, 15, 994 is 1.

Therefore, GCD of numbers 404, 700, 15, 994 is 1

Given Input Data is 404, 700, 15, 994

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 994 is 2 x 7 x 71

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(404, 700) = 70700

GCD(404, 700) = ( 404 x 700 ) / 70700

GCD(404, 700) = 282800 / 70700

GCD(404, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 404, 700, 15, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 292, 58, 730
• GCD of 945, 867, 73, 912
• GCD of 496, 431, 22, 688
• GCD of 812, 824, 71, 914
• GCD of 556, 775, 19, 430

1. What is the GCD of 404, 700, 15, 994?

GCD of 404, 700, 15, 994 is 1

2. Where do I get the detailed procedure to find GCD of 404, 700, 15, 994?

You can find a detailed procedure to find GCD of 404, 700, 15, 994 on our page.

3. How to find GCD of 404, 700, 15, 994 on a calculator?

You can find the GCD of 404, 700, 15, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.