GCD of 853, 364, 51, 174 Calculator

Given Input numbers are 853, 364, 51, 174

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 853, 364, 51, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 364, 51, 174 is 1.

Therefore, GCD of numbers 853, 364, 51, 174 is 1

Given Input Data is 853, 364, 51, 174

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

Prime Factorization of 853 is 853

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 51 is 3 x 17

Prime Factorization of 174 is 2 x 3 x 29

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, 364) = 310492

GCD(853, 364) = ( 853 x 364 ) / 310492

GCD(853, 364) = 310492 / 310492

GCD(853, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 853, 364, 51, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 936, 22, 765
• GCD of 698, 817, 35, 203
• GCD of 590, 803, 25, 943
• GCD of 768, 808, 25, 503
• GCD of 982, 816, 74, 475

1. What is the GCD of 853, 364, 51, 174?

GCD of 853, 364, 51, 174 is 1

2. Where do I get the detailed procedure to find GCD of 853, 364, 51, 174?

You can find a detailed procedure to find GCD of 853, 364, 51, 174 on our page.

3. How to find GCD of 853, 364, 51, 174 on a calculator?

You can find the GCD of 853, 364, 51, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.