GCD of 310, 850, 269 Calculator

Given Input numbers are 310, 850, 269

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 310, 850, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 850, 269 is 1.

Therefore, GCD of numbers 310, 850, 269 is 1

Given Input Data is 310, 850, 269

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 269 is 269

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, 850) = 26350

GCD(310, 850) = ( 310 x 850 ) / 26350

GCD(310, 850) = 263500 / 26350

GCD(310, 850) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 269

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

LCM(10, 269) = 2690

GCD(10, 269) = ( 10 x 269 ) / 2690

GCD(10, 269) = 2690 / 2690

GCD(10, 269) = 1

GCD of 310, 850, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 278, 900
• GCD of 488, 498, 987
• GCD of 568, 868, 856
• GCD of 691, 903, 728
• GCD of 562, 547, 260

1. What is the GCD of 310, 850, 269?

GCD of 310, 850, 269 is 1

2. Where do I get the detailed procedure to find GCD of 310, 850, 269?

You can find a detailed procedure to find GCD of 310, 850, 269 on our page.

3. How to find GCD of 310, 850, 269 on a calculator?

You can find the GCD of 310, 850, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.