GCD of 480, 877, 689, 115 Calculator

Given Input numbers are 480, 877, 689, 115

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 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 480, 877, 689, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 877, 689, 115 is 1.

Therefore, GCD of numbers 480, 877, 689, 115 is 1

Given Input Data is 480, 877, 689, 115

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 877 is 877

Prime Factorization of 689 is 13 x 53

Prime Factorization of 115 is 5 x 23

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, 877) = 420960

GCD(480, 877) = ( 480 x 877 ) / 420960

GCD(480, 877) = 420960 / 420960

GCD(480, 877) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 480, 877, 689, 115 is 1

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1. What is the GCD of 480, 877, 689, 115?

GCD of 480, 877, 689, 115 is 1

2. Where do I get the detailed procedure to find GCD of 480, 877, 689, 115?

You can find a detailed procedure to find GCD of 480, 877, 689, 115 on our page.

3. How to find GCD of 480, 877, 689, 115 on a calculator?

You can find the GCD of 480, 877, 689, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.