GCD of 105, 474, 234, 853 Calculator

Given Input numbers are 105, 474, 234, 853

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 853

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

1, 853

Greatest Common Divisior

We found the divisors of 105, 474, 234, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 474, 234, 853 is 1.

Therefore, GCD of numbers 105, 474, 234, 853 is 1

Given Input Data is 105, 474, 234, 853

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 853 is 853

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(105, 474) = 16590

GCD(105, 474) = ( 105 x 474 ) / 16590

GCD(105, 474) = 49770 / 16590

GCD(105, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 234

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

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

GCD(3, 234) = 702 / 234

GCD(3, 234) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 853

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

LCM(3, 853) = 2559

GCD(3, 853) = ( 3 x 853 ) / 2559

GCD(3, 853) = 2559 / 2559

GCD(3, 853) = 1

GCD of 105, 474, 234, 853 is 1

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1. What is the GCD of 105, 474, 234, 853?

GCD of 105, 474, 234, 853 is 1

2. Where do I get the detailed procedure to find GCD of 105, 474, 234, 853?

You can find a detailed procedure to find GCD of 105, 474, 234, 853 on our page.

3. How to find GCD of 105, 474, 234, 853 on a calculator?

You can find the GCD of 105, 474, 234, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.