GCD of 266, 799, 66, 684 Calculator

Given Input numbers are 266, 799, 66, 684

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 266, 799, 66, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 799, 66, 684 is 1.

Therefore, GCD of numbers 266, 799, 66, 684 is 1

Given Input Data is 266, 799, 66, 684

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 799 is 17 x 47

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(266, 799) = 212534

GCD(266, 799) = ( 266 x 799 ) / 212534

GCD(266, 799) = 212534 / 212534

GCD(266, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 266, 799, 66, 684 is 1

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1. What is the GCD of 266, 799, 66, 684?

GCD of 266, 799, 66, 684 is 1

2. Where do I get the detailed procedure to find GCD of 266, 799, 66, 684?

You can find a detailed procedure to find GCD of 266, 799, 66, 684 on our page.

3. How to find GCD of 266, 799, 66, 684 on a calculator?

You can find the GCD of 266, 799, 66, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.