GCD of 178, 768, 838, 694 Calculator

Given Input numbers are 178, 768, 838, 694

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

Divisors of 178

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

1, 2, 89, 178

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 178, 768, 838, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 768, 838, 694 is 2.

Therefore, GCD of numbers 178, 768, 838, 694 is 2

Given Input Data is 178, 768, 838, 694

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 838 is 2 x 419

Prime Factorization of 694 is 2 x 347

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(178, 768) = 68352

GCD(178, 768) = ( 178 x 768 ) / 68352

GCD(178, 768) = 136704 / 68352

GCD(178, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 178, 768, 838, 694 is 2

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1. What is the GCD of 178, 768, 838, 694?

GCD of 178, 768, 838, 694 is 2

2. Where do I get the detailed procedure to find GCD of 178, 768, 838, 694?

You can find a detailed procedure to find GCD of 178, 768, 838, 694 on our page.

3. How to find GCD of 178, 768, 838, 694 on a calculator?

You can find the GCD of 178, 768, 838, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.