GCD of 480, 913, 85, 279 Calculator

Given Input numbers are 480, 913, 85, 279

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

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 480, 913, 85, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 913, 85, 279 is 1.

Therefore, GCD of numbers 480, 913, 85, 279 is 1

Given Input Data is 480, 913, 85, 279

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

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 85 is 5 x 17

Prime Factorization of 279 is 3 x 3 x 31

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(480, 913) = 438240

GCD(480, 913) = ( 480 x 913 ) / 438240

GCD(480, 913) = 438240 / 438240

GCD(480, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 480, 913, 85, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 508, 73, 463
• GCD of 740, 471, 15, 941
• GCD of 599, 466, 48, 714
• GCD of 922, 303, 67, 873
• GCD of 853, 249, 71, 506

1. What is the GCD of 480, 913, 85, 279?

GCD of 480, 913, 85, 279 is 1

2. Where do I get the detailed procedure to find GCD of 480, 913, 85, 279?

You can find a detailed procedure to find GCD of 480, 913, 85, 279 on our page.

3. How to find GCD of 480, 913, 85, 279 on a calculator?

You can find the GCD of 480, 913, 85, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.