GCD of 798, 788, 24, 420 Calculator

Given Input numbers are 798, 788, 24, 420

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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

Greatest Common Divisior

We found the divisors of 798, 788, 24, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 788, 24, 420 is 2.

Therefore, GCD of numbers 798, 788, 24, 420 is 2

Given Input Data is 798, 788, 24, 420

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 788 is 2 x 2 x 197

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 788) = 314412

GCD(798, 788) = ( 798 x 788 ) / 314412

GCD(798, 788) = 628824 / 314412

GCD(798, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

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

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

GCD of 798, 788, 24, 420 is 2

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1. What is the GCD of 798, 788, 24, 420?

GCD of 798, 788, 24, 420 is 2

2. Where do I get the detailed procedure to find GCD of 798, 788, 24, 420?

You can find a detailed procedure to find GCD of 798, 788, 24, 420 on our page.

3. How to find GCD of 798, 788, 24, 420 on a calculator?

You can find the GCD of 798, 788, 24, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.