GCD of 154, 426, 13, 871 Calculator

Given Input numbers are 154, 426, 13, 871

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 13

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

1, 13

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 154, 426, 13, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 426, 13, 871 is 1.

Therefore, GCD of numbers 154, 426, 13, 871 is 1

Given Input Data is 154, 426, 13, 871

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 13 is 13

Prime Factorization of 871 is 13 x 67

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(154, 426) = 32802

GCD(154, 426) = ( 154 x 426 ) / 32802

GCD(154, 426) = 65604 / 32802

GCD(154, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 154, 426, 13, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 237, 91, 319
• GCD of 510, 503, 61, 239
• GCD of 701, 331, 79, 744
• GCD of 202, 364, 14, 833
• GCD of 310, 428, 55, 737

1. What is the GCD of 154, 426, 13, 871?

GCD of 154, 426, 13, 871 is 1

2. Where do I get the detailed procedure to find GCD of 154, 426, 13, 871?

You can find a detailed procedure to find GCD of 154, 426, 13, 871 on our page.

3. How to find GCD of 154, 426, 13, 871 on a calculator?

You can find the GCD of 154, 426, 13, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.