GCD of 102, 558, 666, 630 Calculator

Given Input numbers are 102, 558, 666, 630

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 102, 558, 666, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 558, 666, 630 is 6.

Therefore, GCD of numbers 102, 558, 666, 630 is 6

Given Input Data is 102, 558, 666, 630

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 558 is 2 x 3 x 3 x 31

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(102, 558) = 9486

GCD(102, 558) = ( 102 x 558 ) / 9486

GCD(102, 558) = 56916 / 9486

GCD(102, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 666

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

LCM(6, 666) = 666

GCD(6, 666) = ( 6 x 666 ) / 666

GCD(6, 666) = 3996 / 666

GCD(6, 666) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 630

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

LCM(6, 630) = 630

GCD(6, 630) = ( 6 x 630 ) / 630

GCD(6, 630) = 3780 / 630

GCD(6, 630) = 6

GCD of 102, 558, 666, 630 is 6

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• GCD of 772, 663, 206, 785
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1. What is the GCD of 102, 558, 666, 630?

GCD of 102, 558, 666, 630 is 6

2. Where do I get the detailed procedure to find GCD of 102, 558, 666, 630?

You can find a detailed procedure to find GCD of 102, 558, 666, 630 on our page.

3. How to find GCD of 102, 558, 666, 630 on a calculator?

You can find the GCD of 102, 558, 666, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.