GCD of 105, 797, 904, 340 Calculator

Given Input numbers are 105, 797, 904, 340

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

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 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 105, 797, 904, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 797, 904, 340 is 1.

Therefore, GCD of numbers 105, 797, 904, 340 is 1

Given Input Data is 105, 797, 904, 340

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 797 is 797

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(105, 797) = 83685

GCD(105, 797) = ( 105 x 797 ) / 83685

GCD(105, 797) = 83685 / 83685

GCD(105, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 105, 797, 904, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 792, 661, 819
• GCD of 663, 746, 981, 997
• GCD of 843, 630, 612, 851
• GCD of 322, 960, 399, 997
• GCD of 104, 457, 335, 131

1. What is the GCD of 105, 797, 904, 340?

GCD of 105, 797, 904, 340 is 1

2. Where do I get the detailed procedure to find GCD of 105, 797, 904, 340?

You can find a detailed procedure to find GCD of 105, 797, 904, 340 on our page.

3. How to find GCD of 105, 797, 904, 340 on a calculator?

You can find the GCD of 105, 797, 904, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.