GCD of 298, 255, 687, 235 Calculator

Given Input numbers are 298, 255, 687, 235

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 298, 255, 687, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 255, 687, 235 is 1.

Therefore, GCD of numbers 298, 255, 687, 235 is 1

Given Input Data is 298, 255, 687, 235

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 687 is 3 x 229

Prime Factorization of 235 is 5 x 47

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(298, 255) = 75990

GCD(298, 255) = ( 298 x 255 ) / 75990

GCD(298, 255) = 75990 / 75990

GCD(298, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 298, 255, 687, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 290, 225, 820
• GCD of 648, 443, 868, 862
• GCD of 630, 846, 719, 591
• GCD of 111, 362, 828, 455
• GCD of 810, 393, 745, 950

1. What is the GCD of 298, 255, 687, 235?

GCD of 298, 255, 687, 235 is 1

2. Where do I get the detailed procedure to find GCD of 298, 255, 687, 235?

You can find a detailed procedure to find GCD of 298, 255, 687, 235 on our page.

3. How to find GCD of 298, 255, 687, 235 on a calculator?

You can find the GCD of 298, 255, 687, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.