GCD of 109, 814, 114, 161 Calculator

Given Input numbers are 109, 814, 114, 161

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 814

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

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 109, 814, 114, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 814, 114, 161 is 1.

Therefore, GCD of numbers 109, 814, 114, 161 is 1

Given Input Data is 109, 814, 114, 161

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

Prime Factorization of 109 is 109

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 161 is 7 x 23

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(109, 814) = 88726

GCD(109, 814) = ( 109 x 814 ) / 88726

GCD(109, 814) = 88726 / 88726

GCD(109, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 109, 814, 114, 161 is 1

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1. What is the GCD of 109, 814, 114, 161?

GCD of 109, 814, 114, 161 is 1

2. Where do I get the detailed procedure to find GCD of 109, 814, 114, 161?

You can find a detailed procedure to find GCD of 109, 814, 114, 161 on our page.

3. How to find GCD of 109, 814, 114, 161 on a calculator?

You can find the GCD of 109, 814, 114, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.