GCD of 176, 758, 794, 878 Calculator

Given Input numbers are 176, 758, 794, 878

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 176, 758, 794, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 758, 794, 878 is 2.

Therefore, GCD of numbers 176, 758, 794, 878 is 2

Given Input Data is 176, 758, 794, 878

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 758 is 2 x 379

Prime Factorization of 794 is 2 x 397

Prime Factorization of 878 is 2 x 439

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(176, 758) = 66704

GCD(176, 758) = ( 176 x 758 ) / 66704

GCD(176, 758) = 133408 / 66704

GCD(176, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

GCD of 176, 758, 794, 878 is 2

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1. What is the GCD of 176, 758, 794, 878?

GCD of 176, 758, 794, 878 is 2

2. Where do I get the detailed procedure to find GCD of 176, 758, 794, 878?

You can find a detailed procedure to find GCD of 176, 758, 794, 878 on our page.

3. How to find GCD of 176, 758, 794, 878 on a calculator?

You can find the GCD of 176, 758, 794, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.