GCD of 318, 112, 627, 745 Calculator

Given Input numbers are 318, 112, 627, 745

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 318, 112, 627, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 112, 627, 745 is 1.

Therefore, GCD of numbers 318, 112, 627, 745 is 1

Given Input Data is 318, 112, 627, 745

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 745 is 5 x 149

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(318, 112) = 17808

GCD(318, 112) = ( 318 x 112 ) / 17808

GCD(318, 112) = 35616 / 17808

GCD(318, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 627

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

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

GCD(2, 627) = 1254 / 1254

GCD(2, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 318, 112, 627, 745 is 1

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1. What is the GCD of 318, 112, 627, 745?

GCD of 318, 112, 627, 745 is 1

2. Where do I get the detailed procedure to find GCD of 318, 112, 627, 745?

You can find a detailed procedure to find GCD of 318, 112, 627, 745 on our page.

3. How to find GCD of 318, 112, 627, 745 on a calculator?

You can find the GCD of 318, 112, 627, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.