GCD of 266, 488, 310, 124 Calculator

Given Input numbers are 266, 488, 310, 124

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

Divisors of 266

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

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

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 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 266, 488, 310, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 488, 310, 124 is 2.

Therefore, GCD of numbers 266, 488, 310, 124 is 2

Given Input Data is 266, 488, 310, 124

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 124 is 2 x 2 x 31

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(266, 488) = 64904

GCD(266, 488) = ( 266 x 488 ) / 64904

GCD(266, 488) = 129808 / 64904

GCD(266, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2

GCD of 266, 488, 310, 124 is 2

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1. What is the GCD of 266, 488, 310, 124?

GCD of 266, 488, 310, 124 is 2

2. Where do I get the detailed procedure to find GCD of 266, 488, 310, 124?

You can find a detailed procedure to find GCD of 266, 488, 310, 124 on our page.

3. How to find GCD of 266, 488, 310, 124 on a calculator?

You can find the GCD of 266, 488, 310, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.