GCD of 853, 119, 89, 106 Calculator

Given Input numbers are 853, 119, 89, 106

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

Divisors of 853

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

1, 853

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 853, 119, 89, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 119, 89, 106 is 1.

Therefore, GCD of numbers 853, 119, 89, 106 is 1

Given Input Data is 853, 119, 89, 106

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

Prime Factorization of 853 is 853

Prime Factorization of 119 is 7 x 17

Prime Factorization of 89 is 89

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(853, 119) = 101507

GCD(853, 119) = ( 853 x 119 ) / 101507

GCD(853, 119) = 101507 / 101507

GCD(853, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 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 853, 119, 89, 106 is 1

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1. What is the GCD of 853, 119, 89, 106?

GCD of 853, 119, 89, 106 is 1

2. Where do I get the detailed procedure to find GCD of 853, 119, 89, 106?

You can find a detailed procedure to find GCD of 853, 119, 89, 106 on our page.

3. How to find GCD of 853, 119, 89, 106 on a calculator?

You can find the GCD of 853, 119, 89, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.