GCD of 305, 925, 85, 338 Calculator

Given Input numbers are 305, 925, 85, 338

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 305, 925, 85, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 925, 85, 338 is 1.

Therefore, GCD of numbers 305, 925, 85, 338 is 1

Given Input Data is 305, 925, 85, 338

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 85 is 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(305, 925) = 56425

GCD(305, 925) = ( 305 x 925 ) / 56425

GCD(305, 925) = 282125 / 56425

GCD(305, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 85

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

LCM(5, 85) = 85

GCD(5, 85) = ( 5 x 85 ) / 85

GCD(5, 85) = 425 / 85

GCD(5, 85) = 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 305, 925, 85, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 728, 33, 817
• GCD of 323, 166, 27, 618
• GCD of 106, 505, 27, 737
• GCD of 971, 746, 53, 530
• GCD of 111, 692, 68, 920

1. What is the GCD of 305, 925, 85, 338?

GCD of 305, 925, 85, 338 is 1

2. Where do I get the detailed procedure to find GCD of 305, 925, 85, 338?

You can find a detailed procedure to find GCD of 305, 925, 85, 338 on our page.

3. How to find GCD of 305, 925, 85, 338 on a calculator?

You can find the GCD of 305, 925, 85, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.