GCD of 250, 310, 966, 266 Calculator

Given Input numbers are 250, 310, 966, 266

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 250, 310, 966, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 310, 966, 266 is 2.

Therefore, GCD of numbers 250, 310, 966, 266 is 2

Given Input Data is 250, 310, 966, 266

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 266 is 2 x 7 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(250, 310) = 7750

GCD(250, 310) = ( 250 x 310 ) / 7750

GCD(250, 310) = 77500 / 7750

GCD(250, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 966

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

LCM(10, 966) = 4830

GCD(10, 966) = ( 10 x 966 ) / 4830

GCD(10, 966) = 9660 / 4830

GCD(10, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

GCD of 250, 310, 966, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 483, 212, 664
• GCD of 426, 839, 718, 596
• GCD of 403, 441, 742, 362
• GCD of 949, 460, 229, 403
• GCD of 742, 913, 777, 777

1. What is the GCD of 250, 310, 966, 266?

GCD of 250, 310, 966, 266 is 2

2. Where do I get the detailed procedure to find GCD of 250, 310, 966, 266?

You can find a detailed procedure to find GCD of 250, 310, 966, 266 on our page.

3. How to find GCD of 250, 310, 966, 266 on a calculator?

You can find the GCD of 250, 310, 966, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.