GCD of 798, 420, 31, 885 Calculator

Given Input numbers are 798, 420, 31, 885

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Greatest Common Divisior

We found the divisors of 798, 420, 31, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 420, 31, 885 is 1.

Therefore, GCD of numbers 798, 420, 31, 885 is 1

Given Input Data is 798, 420, 31, 885

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 31 is 31

Prime Factorization of 885 is 3 x 5 x 59

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, 420) = 7980

GCD(798, 420) = ( 798 x 420 ) / 7980

GCD(798, 420) = 335160 / 7980

GCD(798, 420) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 31

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

LCM(42, 31) = 1302

GCD(42, 31) = ( 42 x 31 ) / 1302

GCD(42, 31) = 1302 / 1302

GCD(42, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 885

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

LCM(1, 885) = 885

GCD(1, 885) = ( 1 x 885 ) / 885

GCD(1, 885) = 885 / 885

GCD(1, 885) = 1

GCD of 798, 420, 31, 885 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 408, 10, 784
• GCD of 928, 543, 60, 868
• GCD of 837, 183, 92, 614
• GCD of 451, 252, 54, 410
• GCD of 849, 288, 11, 388

1. What is the GCD of 798, 420, 31, 885?

GCD of 798, 420, 31, 885 is 1

2. Where do I get the detailed procedure to find GCD of 798, 420, 31, 885?

You can find a detailed procedure to find GCD of 798, 420, 31, 885 on our page.

3. How to find GCD of 798, 420, 31, 885 on a calculator?

You can find the GCD of 798, 420, 31, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.