GCD of 107, 988, 29, 106 Calculator

Given Input numbers are 107, 988, 29, 106

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 107, 988, 29, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 988, 29, 106 is 1.

Therefore, GCD of numbers 107, 988, 29, 106 is 1

Given Input Data is 107, 988, 29, 106

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

Prime Factorization of 107 is 107

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 29 is 29

Prime Factorization of 106 is 2 x 53

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(107, 988) = 105716

GCD(107, 988) = ( 107 x 988 ) / 105716

GCD(107, 988) = 105716 / 105716

GCD(107, 988) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 107, 988, 29, 106 is 1

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1. What is the GCD of 107, 988, 29, 106?

GCD of 107, 988, 29, 106 is 1

2. Where do I get the detailed procedure to find GCD of 107, 988, 29, 106?

You can find a detailed procedure to find GCD of 107, 988, 29, 106 on our page.

3. How to find GCD of 107, 988, 29, 106 on a calculator?

You can find the GCD of 107, 988, 29, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.