GCD of 105, 876, 666, 208 Calculator

Given Input numbers are 105, 876, 666, 208

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 105, 876, 666, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 876, 666, 208 is 1.

Therefore, GCD of numbers 105, 876, 666, 208 is 1

Given Input Data is 105, 876, 666, 208

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 876 is 2 x 2 x 3 x 73

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(105, 876) = 30660

GCD(105, 876) = ( 105 x 876 ) / 30660

GCD(105, 876) = 91980 / 30660

GCD(105, 876) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 208

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

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

GCD(3, 208) = 624 / 624

GCD(3, 208) = 1

GCD of 105, 876, 666, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 797, 733, 611
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• GCD of 967, 984, 979, 519

1. What is the GCD of 105, 876, 666, 208?

GCD of 105, 876, 666, 208 is 1

2. Where do I get the detailed procedure to find GCD of 105, 876, 666, 208?

You can find a detailed procedure to find GCD of 105, 876, 666, 208 on our page.

3. How to find GCD of 105, 876, 666, 208 on a calculator?

You can find the GCD of 105, 876, 666, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.