GCD of 345, 924, 59, 779 Calculator

Given Input numbers are 345, 924, 59, 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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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, 924, 59, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 924, 59, 779 is 1.

Therefore, GCD of numbers 345, 924, 59, 779 is 1

Given Input Data is 345, 924, 59, 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 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 59 is 59

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, 924) = 106260

GCD(345, 924) = ( 345 x 924 ) / 106260

GCD(345, 924) = 318780 / 106260

GCD(345, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 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, 924, 59, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 690, 67, 667
• GCD of 719, 946, 10, 301
• GCD of 832, 684, 87, 915
• GCD of 699, 606, 18, 266
• GCD of 289, 588, 51, 978

1. What is the GCD of 345, 924, 59, 779?

GCD of 345, 924, 59, 779 is 1

2. Where do I get the detailed procedure to find GCD of 345, 924, 59, 779?

You can find a detailed procedure to find GCD of 345, 924, 59, 779 on our page.

3. How to find GCD of 345, 924, 59, 779 on a calculator?

You can find the GCD of 345, 924, 59, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.