GCD of 798, 178, 94, 340 Calculator

Given Input numbers are 798, 178, 94, 340

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 798, 178, 94, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 178, 94, 340 is 2.

Therefore, GCD of numbers 798, 178, 94, 340 is 2

Given Input Data is 798, 178, 94, 340

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 178 is 2 x 89

Prime Factorization of 94 is 2 x 47

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

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, 178) = 71022

GCD(798, 178) = ( 798 x 178 ) / 71022

GCD(798, 178) = 142044 / 71022

GCD(798, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 798, 178, 94, 340 is 2

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1. What is the GCD of 798, 178, 94, 340?

GCD of 798, 178, 94, 340 is 2

2. Where do I get the detailed procedure to find GCD of 798, 178, 94, 340?

You can find a detailed procedure to find GCD of 798, 178, 94, 340 on our page.

3. How to find GCD of 798, 178, 94, 340 on a calculator?

You can find the GCD of 798, 178, 94, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.