GCD of 122, 112, 699 Calculator

Given Input numbers are 122, 112, 699

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 122, 112, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 112, 699 is 1.

Therefore, GCD of numbers 122, 112, 699 is 1

Given Input Data is 122, 112, 699

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

Prime Factorization of 122 is 2 x 61

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

Prime Factorization of 699 is 3 x 233

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(122, 112) = 6832

GCD(122, 112) = ( 122 x 112 ) / 6832

GCD(122, 112) = 13664 / 6832

GCD(122, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

GCD of 122, 112, 699 is 1

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1. What is the GCD of 122, 112, 699?

GCD of 122, 112, 699 is 1

2. Where do I get the detailed procedure to find GCD of 122, 112, 699?

You can find a detailed procedure to find GCD of 122, 112, 699 on our page.

3. How to find GCD of 122, 112, 699 on a calculator?

You can find the GCD of 122, 112, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.