GCD of 666, 970, 584, 110 Calculator

Given Input numbers are 666, 970, 584, 110

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

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 666, 970, 584, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 970, 584, 110 is 2.

Therefore, GCD of numbers 666, 970, 584, 110 is 2

Given Input Data is 666, 970, 584, 110

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

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 110 is 2 x 5 x 11

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(666, 970) = 323010

GCD(666, 970) = ( 666 x 970 ) / 323010

GCD(666, 970) = 646020 / 323010

GCD(666, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 666, 970, 584, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 918, 559, 105
• GCD of 313, 362, 723, 785
• GCD of 764, 590, 216, 464
• GCD of 118, 937, 820, 710
• GCD of 738, 176, 894, 952

1. What is the GCD of 666, 970, 584, 110?

GCD of 666, 970, 584, 110 is 2

2. Where do I get the detailed procedure to find GCD of 666, 970, 584, 110?

You can find a detailed procedure to find GCD of 666, 970, 584, 110 on our page.

3. How to find GCD of 666, 970, 584, 110 on a calculator?

You can find the GCD of 666, 970, 584, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.