GCD of 107, 853, 22, 299 Calculator

Given Input numbers are 107, 853, 22, 299

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 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 107, 853, 22, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 853, 22, 299 is 1.

Therefore, GCD of numbers 107, 853, 22, 299 is 1

Given Input Data is 107, 853, 22, 299

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

Prime Factorization of 107 is 107

Prime Factorization of 853 is 853

Prime Factorization of 22 is 2 x 11

Prime Factorization of 299 is 13 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(107, 853) = 91271

GCD(107, 853) = ( 107 x 853 ) / 91271

GCD(107, 853) = 91271 / 91271

GCD(107, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 107, 853, 22, 299 is 1

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• GCD of 727, 505, 53, 280
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1. What is the GCD of 107, 853, 22, 299?

GCD of 107, 853, 22, 299 is 1

2. Where do I get the detailed procedure to find GCD of 107, 853, 22, 299?

You can find a detailed procedure to find GCD of 107, 853, 22, 299 on our page.

3. How to find GCD of 107, 853, 22, 299 on a calculator?

You can find the GCD of 107, 853, 22, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.