GCD of 266, 588, 308 Calculator

Given Input numbers are 266, 588, 308

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 266, 588, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 588, 308 is 14.

Therefore, GCD of numbers 266, 588, 308 is 14

Given Input Data is 266, 588, 308

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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, 588) = 11172

GCD(266, 588) = ( 266 x 588 ) / 11172

GCD(266, 588) = 156408 / 11172

GCD(266, 588) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 308

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

LCM(14, 308) = 308

GCD(14, 308) = ( 14 x 308 ) / 308

GCD(14, 308) = 4312 / 308

GCD(14, 308) = 14

GCD of 266, 588, 308 is 14

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1. What is the GCD of 266, 588, 308?

GCD of 266, 588, 308 is 14

2. Where do I get the detailed procedure to find GCD of 266, 588, 308?

You can find a detailed procedure to find GCD of 266, 588, 308 on our page.

3. How to find GCD of 266, 588, 308 on a calculator?

You can find the GCD of 266, 588, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.