GCD of 485, 135, 480, 688 Calculator

Given Input numbers are 485, 135, 480, 688

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

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 485, 135, 480, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 485, 135, 480, 688 is 1.

Therefore, GCD of numbers 485, 135, 480, 688 is 1

Given Input Data is 485, 135, 480, 688

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

Prime Factorization of 485 is 5 x 97

Prime Factorization of 135 is 3 x 3 x 3 x 5

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(485, 135) = 13095

GCD(485, 135) = ( 485 x 135 ) / 13095

GCD(485, 135) = 65475 / 13095

GCD(485, 135) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 480

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

LCM(5, 480) = 480

GCD(5, 480) = ( 5 x 480 ) / 480

GCD(5, 480) = 2400 / 480

GCD(5, 480) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 688

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

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

GCD(5, 688) = 3440 / 3440

GCD(5, 688) = 1

GCD of 485, 135, 480, 688 is 1

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1. What is the GCD of 485, 135, 480, 688?

GCD of 485, 135, 480, 688 is 1

2. Where do I get the detailed procedure to find GCD of 485, 135, 480, 688?

You can find a detailed procedure to find GCD of 485, 135, 480, 688 on our page.

3. How to find GCD of 485, 135, 480, 688 on a calculator?

You can find the GCD of 485, 135, 480, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.