GCD of 325, 475, 340, 338 Calculator

Given Input numbers are 325, 475, 340, 338

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 325, 475, 340, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 475, 340, 338 is 1.

Therefore, GCD of numbers 325, 475, 340, 338 is 1

Given Input Data is 325, 475, 340, 338

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 338 is 2 x 13 x 13

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(325, 475) = 6175

GCD(325, 475) = ( 325 x 475 ) / 6175

GCD(325, 475) = 154375 / 6175

GCD(325, 475) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 340

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

LCM(25, 340) = 1700

GCD(25, 340) = ( 25 x 340 ) / 1700

GCD(25, 340) = 8500 / 1700

GCD(25, 340) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 338

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

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

GCD(5, 338) = 1690 / 1690

GCD(5, 338) = 1

GCD of 325, 475, 340, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 785, 773, 144
• GCD of 410, 859, 116, 915
• GCD of 661, 521, 638, 983
• GCD of 165, 974, 611, 748
• GCD of 701, 270, 343, 261

1. What is the GCD of 325, 475, 340, 338?

GCD of 325, 475, 340, 338 is 1

2. Where do I get the detailed procedure to find GCD of 325, 475, 340, 338?

You can find a detailed procedure to find GCD of 325, 475, 340, 338 on our page.

3. How to find GCD of 325, 475, 340, 338 on a calculator?

You can find the GCD of 325, 475, 340, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.