GCD of 113, 312, 985, 111 Calculator

Given Input numbers are 113, 312, 985, 111

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 113, 312, 985, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 312, 985, 111 is 1.

Therefore, GCD of numbers 113, 312, 985, 111 is 1

Given Input Data is 113, 312, 985, 111

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

Prime Factorization of 113 is 113

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 985 is 5 x 197

Prime Factorization of 111 is 3 x 37

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, 312) = 35256

GCD(113, 312) = ( 113 x 312 ) / 35256

GCD(113, 312) = 35256 / 35256

GCD(113, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 113, 312, 985, 111 is 1

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1. What is the GCD of 113, 312, 985, 111?

GCD of 113, 312, 985, 111 is 1

2. Where do I get the detailed procedure to find GCD of 113, 312, 985, 111?

You can find a detailed procedure to find GCD of 113, 312, 985, 111 on our page.

3. How to find GCD of 113, 312, 985, 111 on a calculator?

You can find the GCD of 113, 312, 985, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.