GCD of 484, 919, 66, 106 Calculator

Given Input numbers are 484, 919, 66, 106

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 484, 919, 66, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 919, 66, 106 is 1.

Therefore, GCD of numbers 484, 919, 66, 106 is 1

Given Input Data is 484, 919, 66, 106

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 919 is 919

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 106 is 2 x 53

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(484, 919) = 444796

GCD(484, 919) = ( 484 x 919 ) / 444796

GCD(484, 919) = 444796 / 444796

GCD(484, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 484, 919, 66, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 495, 68, 926
• GCD of 321, 616, 97, 756
• GCD of 446, 689, 71, 736
• GCD of 945, 497, 21, 968
• GCD of 336, 973, 81, 178

1. What is the GCD of 484, 919, 66, 106?

GCD of 484, 919, 66, 106 is 1

2. Where do I get the detailed procedure to find GCD of 484, 919, 66, 106?

You can find a detailed procedure to find GCD of 484, 919, 66, 106 on our page.

3. How to find GCD of 484, 919, 66, 106 on a calculator?

You can find the GCD of 484, 919, 66, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.