GCD of 111, 617, 118, 814 Calculator

Given Input numbers are 111, 617, 118, 814

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

Divisors of 111

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

1, 3, 37, 111

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 111, 617, 118, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 617, 118, 814 is 1.

Therefore, GCD of numbers 111, 617, 118, 814 is 1

Given Input Data is 111, 617, 118, 814

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 617 is 617

Prime Factorization of 118 is 2 x 59

Prime Factorization of 814 is 2 x 11 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(111, 617) = 68487

GCD(111, 617) = ( 111 x 617 ) / 68487

GCD(111, 617) = 68487 / 68487

GCD(111, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 111, 617, 118, 814 is 1

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• GCD of 983, 127, 780, 897
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1. What is the GCD of 111, 617, 118, 814?

GCD of 111, 617, 118, 814 is 1

2. Where do I get the detailed procedure to find GCD of 111, 617, 118, 814?

You can find a detailed procedure to find GCD of 111, 617, 118, 814 on our page.

3. How to find GCD of 111, 617, 118, 814 on a calculator?

You can find the GCD of 111, 617, 118, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.