GCD of 304, 140, 842, 899 Calculator

Given Input numbers are 304, 140, 842, 899

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 304, 140, 842, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 140, 842, 899 is 1.

Therefore, GCD of numbers 304, 140, 842, 899 is 1

Given Input Data is 304, 140, 842, 899

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 842 is 2 x 421

Prime Factorization of 899 is 29 x 31

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(304, 140) = 10640

GCD(304, 140) = ( 304 x 140 ) / 10640

GCD(304, 140) = 42560 / 10640

GCD(304, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 842

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

LCM(4, 842) = 1684

GCD(4, 842) = ( 4 x 842 ) / 1684

GCD(4, 842) = 3368 / 1684

GCD(4, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

GCD of 304, 140, 842, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 556, 251, 253
• GCD of 897, 999, 665, 793
• GCD of 789, 371, 231, 818
• GCD of 114, 749, 370, 698
• GCD of 259, 508, 495, 259

1. What is the GCD of 304, 140, 842, 899?

GCD of 304, 140, 842, 899 is 1

2. Where do I get the detailed procedure to find GCD of 304, 140, 842, 899?

You can find a detailed procedure to find GCD of 304, 140, 842, 899 on our page.

3. How to find GCD of 304, 140, 842, 899 on a calculator?

You can find the GCD of 304, 140, 842, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.