GCD of 798, 476, 769 Calculator

Given Input numbers are 798, 476, 769

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 798, 476, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 476, 769 is 1.

Therefore, GCD of numbers 798, 476, 769 is 1

Given Input Data is 798, 476, 769

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 476 is 2 x 2 x 7 x 17

Prime Factorization of 769 is 769

The above numbers do not have any common prime factor. So GCD is 1

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, 476) = 27132

GCD(798, 476) = ( 798 x 476 ) / 27132

GCD(798, 476) = 379848 / 27132

GCD(798, 476) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 769

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

LCM(14, 769) = 10766

GCD(14, 769) = ( 14 x 769 ) / 10766

GCD(14, 769) = 10766 / 10766

GCD(14, 769) = 1

GCD of 798, 476, 769 is 1

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1. What is the GCD of 798, 476, 769?

GCD of 798, 476, 769 is 1

2. Where do I get the detailed procedure to find GCD of 798, 476, 769?

You can find a detailed procedure to find GCD of 798, 476, 769 on our page.

3. How to find GCD of 798, 476, 769 on a calculator?

You can find the GCD of 798, 476, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.