GCD of 390, 430, 345, 595 Calculator

Given Input numbers are 390, 430, 345, 595

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

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 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Greatest Common Divisior

We found the divisors of 390, 430, 345, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 430, 345, 595 is 5.

Therefore, GCD of numbers 390, 430, 345, 595 is 5

Given Input Data is 390, 430, 345, 595

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 595 is 5 x 7 x 17

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(390, 430) = 16770

GCD(390, 430) = ( 390 x 430 ) / 16770

GCD(390, 430) = 167700 / 16770

GCD(390, 430) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 345

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

LCM(10, 345) = 690

GCD(10, 345) = ( 10 x 345 ) / 690

GCD(10, 345) = 3450 / 690

GCD(10, 345) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 595

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

LCM(5, 595) = 595

GCD(5, 595) = ( 5 x 595 ) / 595

GCD(5, 595) = 2975 / 595

GCD(5, 595) = 5

GCD of 390, 430, 345, 595 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 146, 760, 420
• GCD of 374, 656, 892, 175
• GCD of 595, 115, 617, 857
• GCD of 706, 611, 704, 339
• GCD of 199, 261, 972, 718

1. What is the GCD of 390, 430, 345, 595?

GCD of 390, 430, 345, 595 is 5

2. Where do I get the detailed procedure to find GCD of 390, 430, 345, 595?

You can find a detailed procedure to find GCD of 390, 430, 345, 595 on our page.

3. How to find GCD of 390, 430, 345, 595 on a calculator?

You can find the GCD of 390, 430, 345, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.