GCD of 310, 395, 75, 298 Calculator

Given Input numbers are 310, 395, 75, 298

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 310, 395, 75, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 395, 75, 298 is 1.

Therefore, GCD of numbers 310, 395, 75, 298 is 1

Given Input Data is 310, 395, 75, 298

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 395 is 5 x 79

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 298 is 2 x 149

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(310, 395) = 24490

GCD(310, 395) = ( 310 x 395 ) / 24490

GCD(310, 395) = 122450 / 24490

GCD(310, 395) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 75

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

LCM(5, 75) = 75

GCD(5, 75) = ( 5 x 75 ) / 75

GCD(5, 75) = 375 / 75

GCD(5, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 298

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

LCM(5, 298) = 1490

GCD(5, 298) = ( 5 x 298 ) / 1490

GCD(5, 298) = 1490 / 1490

GCD(5, 298) = 1

GCD of 310, 395, 75, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 303, 30, 119
• GCD of 115, 973, 41, 775
• GCD of 210, 646, 30, 476
• GCD of 582, 319, 78, 523
• GCD of 375, 525, 85, 707

1. What is the GCD of 310, 395, 75, 298?

GCD of 310, 395, 75, 298 is 1

2. Where do I get the detailed procedure to find GCD of 310, 395, 75, 298?

You can find a detailed procedure to find GCD of 310, 395, 75, 298 on our page.

3. How to find GCD of 310, 395, 75, 298 on a calculator?

You can find the GCD of 310, 395, 75, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.