GCD of 266, 251, 16, 600 Calculator

Given Input numbers are 266, 251, 16, 600

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 266, 251, 16, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 251, 16, 600 is 1.

Therefore, GCD of numbers 266, 251, 16, 600 is 1

Given Input Data is 266, 251, 16, 600

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 251 is 251

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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, 251) = 66766

GCD(266, 251) = ( 266 x 251 ) / 66766

GCD(266, 251) = 66766 / 66766

GCD(266, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 266, 251, 16, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 954, 52, 262
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• GCD of 139, 170, 92, 492

1. What is the GCD of 266, 251, 16, 600?

GCD of 266, 251, 16, 600 is 1

2. Where do I get the detailed procedure to find GCD of 266, 251, 16, 600?

You can find a detailed procedure to find GCD of 266, 251, 16, 600 on our page.

3. How to find GCD of 266, 251, 16, 600 on a calculator?

You can find the GCD of 266, 251, 16, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.