GCD of 480, 897, 65, 415 Calculator

Given Input numbers are 480, 897, 65, 415

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 480, 897, 65, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 897, 65, 415 is 1.

Therefore, GCD of numbers 480, 897, 65, 415 is 1

Given Input Data is 480, 897, 65, 415

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 897 is 3 x 13 x 23

Prime Factorization of 65 is 5 x 13

Prime Factorization of 415 is 5 x 83

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, 897) = 143520

GCD(480, 897) = ( 480 x 897 ) / 143520

GCD(480, 897) = 430560 / 143520

GCD(480, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 480, 897, 65, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 121, 68, 627
• GCD of 309, 149, 20, 429
• GCD of 268, 275, 38, 657
• GCD of 810, 748, 60, 145
• GCD of 974, 344, 43, 818

1. What is the GCD of 480, 897, 65, 415?

GCD of 480, 897, 65, 415 is 1

2. Where do I get the detailed procedure to find GCD of 480, 897, 65, 415?

You can find a detailed procedure to find GCD of 480, 897, 65, 415 on our page.

3. How to find GCD of 480, 897, 65, 415 on a calculator?

You can find the GCD of 480, 897, 65, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.