GCD of 109, 480, 10, 264 Calculator

Given Input numbers are 109, 480, 10, 264

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 109, 480, 10, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 480, 10, 264 is 1.

Therefore, GCD of numbers 109, 480, 10, 264 is 1

Given Input Data is 109, 480, 10, 264

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

Prime Factorization of 109 is 109

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(109, 480) = 52320

GCD(109, 480) = ( 109 x 480 ) / 52320

GCD(109, 480) = 52320 / 52320

GCD(109, 480) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 109, 480, 10, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 751, 63, 303
• GCD of 289, 467, 11, 148
• GCD of 175, 773, 66, 727
• GCD of 155, 676, 91, 814
• GCD of 188, 195, 87, 673

1. What is the GCD of 109, 480, 10, 264?

GCD of 109, 480, 10, 264 is 1

2. Where do I get the detailed procedure to find GCD of 109, 480, 10, 264?

You can find a detailed procedure to find GCD of 109, 480, 10, 264 on our page.

3. How to find GCD of 109, 480, 10, 264 on a calculator?

You can find the GCD of 109, 480, 10, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.