GCD of 798, 764, 704 Calculator

Given Input numbers are 798, 764, 704

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 798, 764, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 764, 704 is 2.

Therefore, GCD of numbers 798, 764, 704 is 2

Given Input Data is 798, 764, 704

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 764 is 2 x 2 x 191

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 764) = 304836

GCD(798, 764) = ( 798 x 764 ) / 304836

GCD(798, 764) = 609672 / 304836

GCD(798, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 798, 764, 704 is 2

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• GCD of 754, 265, 495
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1. What is the GCD of 798, 764, 704?

GCD of 798, 764, 704 is 2

2. Where do I get the detailed procedure to find GCD of 798, 764, 704?

You can find a detailed procedure to find GCD of 798, 764, 704 on our page.

3. How to find GCD of 798, 764, 704 on a calculator?

You can find the GCD of 798, 764, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.