GCD of 116, 310, 45, 648 Calculator

Given Input numbers are 116, 310, 45, 648

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 116, 310, 45, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 310, 45, 648 is 1.

Therefore, GCD of numbers 116, 310, 45, 648 is 1

Given Input Data is 116, 310, 45, 648

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(116, 310) = 17980

GCD(116, 310) = ( 116 x 310 ) / 17980

GCD(116, 310) = 35960 / 17980

GCD(116, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 116, 310, 45, 648 is 1

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1. What is the GCD of 116, 310, 45, 648?

GCD of 116, 310, 45, 648 is 1

2. Where do I get the detailed procedure to find GCD of 116, 310, 45, 648?

You can find a detailed procedure to find GCD of 116, 310, 45, 648 on our page.

3. How to find GCD of 116, 310, 45, 648 on a calculator?

You can find the GCD of 116, 310, 45, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.