GCD of 666, 584, 836, 254 Calculator

Given Input numbers are 666, 584, 836, 254

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

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 666, 584, 836, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 584, 836, 254 is 2.

Therefore, GCD of numbers 666, 584, 836, 254 is 2

Given Input Data is 666, 584, 836, 254

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

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 254 is 2 x 127

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(666, 584) = 194472

GCD(666, 584) = ( 666 x 584 ) / 194472

GCD(666, 584) = 388944 / 194472

GCD(666, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 254

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

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

GCD(2, 254) = 508 / 254

GCD(2, 254) = 2

GCD of 666, 584, 836, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 963, 972, 254
• GCD of 987, 994, 606, 478
• GCD of 131, 672, 701, 313
• GCD of 974, 656, 107, 423
• GCD of 502, 938, 644, 193

1. What is the GCD of 666, 584, 836, 254?

GCD of 666, 584, 836, 254 is 2

2. Where do I get the detailed procedure to find GCD of 666, 584, 836, 254?

You can find a detailed procedure to find GCD of 666, 584, 836, 254 on our page.

3. How to find GCD of 666, 584, 836, 254 on a calculator?

You can find the GCD of 666, 584, 836, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.