GCD of 345, 260, 99, 779 Calculator

Given Input numbers are 345, 260, 99, 779

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 345, 260, 99, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 260, 99, 779 is 1.

Therefore, GCD of numbers 345, 260, 99, 779 is 1

Given Input Data is 345, 260, 99, 779

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 99 is 3 x 3 x 11

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(345, 260) = 17940

GCD(345, 260) = ( 345 x 260 ) / 17940

GCD(345, 260) = 89700 / 17940

GCD(345, 260) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 99

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

LCM(5, 99) = 495

GCD(5, 99) = ( 5 x 99 ) / 495

GCD(5, 99) = 495 / 495

GCD(5, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 345, 260, 99, 779 is 1

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1. What is the GCD of 345, 260, 99, 779?

GCD of 345, 260, 99, 779 is 1

2. Where do I get the detailed procedure to find GCD of 345, 260, 99, 779?

You can find a detailed procedure to find GCD of 345, 260, 99, 779 on our page.

3. How to find GCD of 345, 260, 99, 779 on a calculator?

You can find the GCD of 345, 260, 99, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.