GCD of 788, 776, 86, 296 Calculator

Given Input numbers are 788, 776, 86, 296

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 788, 776, 86, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 776, 86, 296 is 2.

Therefore, GCD of numbers 788, 776, 86, 296 is 2

Given Input Data is 788, 776, 86, 296

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 86 is 2 x 43

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(788, 776) = 152872

GCD(788, 776) = ( 788 x 776 ) / 152872

GCD(788, 776) = 611488 / 152872

GCD(788, 776) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

GCD of 788, 776, 86, 296 is 2

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1. What is the GCD of 788, 776, 86, 296?

GCD of 788, 776, 86, 296 is 2

2. Where do I get the detailed procedure to find GCD of 788, 776, 86, 296?

You can find a detailed procedure to find GCD of 788, 776, 86, 296 on our page.

3. How to find GCD of 788, 776, 86, 296 on a calculator?

You can find the GCD of 788, 776, 86, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.