GCD of 13, 174, 876, 857 Calculator

Given Input numbers are 13, 174, 876, 857

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 174

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

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 13, 174, 876, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 174, 876, 857 is 1.

Therefore, GCD of numbers 13, 174, 876, 857 is 1

Given Input Data is 13, 174, 876, 857

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

Prime Factorization of 13 is 13

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 857 is 857

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(13, 174) = 2262

GCD(13, 174) = ( 13 x 174 ) / 2262

GCD(13, 174) = 2262 / 2262

GCD(13, 174) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 13, 174, 876, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 757, 837, 916
• GCD of 14, 789, 988, 908
• GCD of 85, 876, 951, 610
• GCD of 70, 933, 651, 242
• GCD of 45, 616, 537, 374

1. What is the GCD of 13, 174, 876, 857?

GCD of 13, 174, 876, 857 is 1

2. Where do I get the detailed procedure to find GCD of 13, 174, 876, 857?

You can find a detailed procedure to find GCD of 13, 174, 876, 857 on our page.

3. How to find GCD of 13, 174, 876, 857 on a calculator?

You can find the GCD of 13, 174, 876, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.