GCD of 668, 268, 666, 480 Calculator

Given Input numbers are 668, 268, 666, 480

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

Divisors of 668

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

1, 2, 4, 167, 334, 668

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 668, 268, 666, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 268, 666, 480 is 2.

Therefore, GCD of numbers 668, 268, 666, 480 is 2

Given Input Data is 668, 268, 666, 480

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 268 is 2 x 2 x 67

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(668, 268) = 44756

GCD(668, 268) = ( 668 x 268 ) / 44756

GCD(668, 268) = 179024 / 44756

GCD(668, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 666

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

LCM(4, 666) = 1332

GCD(4, 666) = ( 4 x 666 ) / 1332

GCD(4, 666) = 2664 / 1332

GCD(4, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 668, 268, 666, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 926, 383, 431
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• GCD of 916, 943, 151, 955

1. What is the GCD of 668, 268, 666, 480?

GCD of 668, 268, 666, 480 is 2

2. Where do I get the detailed procedure to find GCD of 668, 268, 666, 480?

You can find a detailed procedure to find GCD of 668, 268, 666, 480 on our page.

3. How to find GCD of 668, 268, 666, 480 on a calculator?

You can find the GCD of 668, 268, 666, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.