GCD of 254, 440, 16, 668 Calculator

Given Input numbers are 254, 440, 16, 668

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

Divisors of 254

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

1, 2, 127, 254

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 254, 440, 16, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 440, 16, 668 is 2.

Therefore, GCD of numbers 254, 440, 16, 668 is 2

Given Input Data is 254, 440, 16, 668

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 668 is 2 x 2 x 167

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(254, 440) = 55880

GCD(254, 440) = ( 254 x 440 ) / 55880

GCD(254, 440) = 111760 / 55880

GCD(254, 440) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 254, 440, 16, 668 is 2

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• GCD of 454, 670, 16, 685
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1. What is the GCD of 254, 440, 16, 668?

GCD of 254, 440, 16, 668 is 2

2. Where do I get the detailed procedure to find GCD of 254, 440, 16, 668?

You can find a detailed procedure to find GCD of 254, 440, 16, 668 on our page.

3. How to find GCD of 254, 440, 16, 668 on a calculator?

You can find the GCD of 254, 440, 16, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.