GCD of 190, 798, 76, 854 Calculator

Given Input numbers are 190, 798, 76, 854

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 190, 798, 76, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 798, 76, 854 is 2.

Therefore, GCD of numbers 190, 798, 76, 854 is 2

Given Input Data is 190, 798, 76, 854

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

Prime Factorization of 190 is 2 x 5 x 19

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 854 is 2 x 7 x 61

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(190, 798) = 3990

GCD(190, 798) = ( 190 x 798 ) / 3990

GCD(190, 798) = 151620 / 3990

GCD(190, 798) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 76

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

LCM(38, 76) = 76

GCD(38, 76) = ( 38 x 76 ) / 76

GCD(38, 76) = 2888 / 76

GCD(38, 76) = 38

Step3:

Here we consider the GCD from the above i.e. 38 as first number and the next as 854

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

LCM(38, 854) = 16226

GCD(38, 854) = ( 38 x 854 ) / 16226

GCD(38, 854) = 32452 / 16226

GCD(38, 854) = 2

GCD of 190, 798, 76, 854 is 2

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1. What is the GCD of 190, 798, 76, 854?

GCD of 190, 798, 76, 854 is 2

2. Where do I get the detailed procedure to find GCD of 190, 798, 76, 854?

You can find a detailed procedure to find GCD of 190, 798, 76, 854 on our page.

3. How to find GCD of 190, 798, 76, 854 on a calculator?

You can find the GCD of 190, 798, 76, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.