GCD of 50, 666, 676, 600 Calculator

Given Input numbers are 50, 666, 676, 600

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 50, 666, 676, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 666, 676, 600 is 2.

Therefore, GCD of numbers 50, 666, 676, 600 is 2

Given Input Data is 50, 666, 676, 600

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

Prime Factorization of 50 is 2 x 5 x 5

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 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(50, 666) = 16650

GCD(50, 666) = ( 50 x 666 ) / 16650

GCD(50, 666) = 33300 / 16650

GCD(50, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 50, 666, 676, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 594, 497, 207
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• GCD of 57, 743, 142, 767
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• GCD of 45, 837, 474, 637

1. What is the GCD of 50, 666, 676, 600?

GCD of 50, 666, 676, 600 is 2

2. Where do I get the detailed procedure to find GCD of 50, 666, 676, 600?

You can find a detailed procedure to find GCD of 50, 666, 676, 600 on our page.

3. How to find GCD of 50, 666, 676, 600 on a calculator?

You can find the GCD of 50, 666, 676, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.