GCD of 498, 860, 779 Calculator

Given Input numbers are 498, 860, 779

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 498, 860, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 860, 779 is 1.

Therefore, GCD of numbers 498, 860, 779 is 1

Given Input Data is 498, 860, 779

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 779 is 19 x 41

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(498, 860) = 214140

GCD(498, 860) = ( 498 x 860 ) / 214140

GCD(498, 860) = 428280 / 214140

GCD(498, 860) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

GCD of 498, 860, 779 is 1

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1. What is the GCD of 498, 860, 779?

GCD of 498, 860, 779 is 1

2. Where do I get the detailed procedure to find GCD of 498, 860, 779?

You can find a detailed procedure to find GCD of 498, 860, 779 on our page.

3. How to find GCD of 498, 860, 779 on a calculator?

You can find the GCD of 498, 860, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.