GCD of 113, 713, 16, 678 Calculator

Given Input numbers are 113, 713, 16, 678

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 113, 713, 16, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 713, 16, 678 is 1.

Therefore, GCD of numbers 113, 713, 16, 678 is 1

Given Input Data is 113, 713, 16, 678

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

Prime Factorization of 113 is 113

Prime Factorization of 713 is 23 x 31

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 678 is 2 x 3 x 113

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(113, 713) = 80569

GCD(113, 713) = ( 113 x 713 ) / 80569

GCD(113, 713) = 80569 / 80569

GCD(113, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 113, 713, 16, 678 is 1

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1. What is the GCD of 113, 713, 16, 678?

GCD of 113, 713, 16, 678 is 1

2. Where do I get the detailed procedure to find GCD of 113, 713, 16, 678?

You can find a detailed procedure to find GCD of 113, 713, 16, 678 on our page.

3. How to find GCD of 113, 713, 16, 678 on a calculator?

You can find the GCD of 113, 713, 16, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.