GCD of 798, 913, 914, 604 Calculator

Given Input numbers are 798, 913, 914, 604

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 798, 913, 914, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 913, 914, 604 is 1.

Therefore, GCD of numbers 798, 913, 914, 604 is 1

Given Input Data is 798, 913, 914, 604

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 913 is 11 x 83

Prime Factorization of 914 is 2 x 457

Prime Factorization of 604 is 2 x 2 x 151

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(798, 913) = 728574

GCD(798, 913) = ( 798 x 913 ) / 728574

GCD(798, 913) = 728574 / 728574

GCD(798, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 798, 913, 914, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 594, 222, 537
• GCD of 162, 442, 159, 642
• GCD of 571, 315, 506, 352
• GCD of 900, 958, 311, 234
• GCD of 597, 448, 457, 659

1. What is the GCD of 798, 913, 914, 604?

GCD of 798, 913, 914, 604 is 1

2. Where do I get the detailed procedure to find GCD of 798, 913, 914, 604?

You can find a detailed procedure to find GCD of 798, 913, 914, 604 on our page.

3. How to find GCD of 798, 913, 914, 604 on a calculator?

You can find the GCD of 798, 913, 914, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.