GCD of 871, 345, 22, 431 Calculator

Given Input numbers are 871, 345, 22, 431

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 871, 345, 22, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 345, 22, 431 is 1.

Therefore, GCD of numbers 871, 345, 22, 431 is 1

Given Input Data is 871, 345, 22, 431

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 431 is 431

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(871, 345) = 300495

GCD(871, 345) = ( 871 x 345 ) / 300495

GCD(871, 345) = 300495 / 300495

GCD(871, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 871, 345, 22, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 310, 24, 698
• GCD of 343, 591, 57, 773
• GCD of 228, 478, 61, 291
• GCD of 283, 606, 11, 360
• GCD of 393, 670, 16, 831

1. What is the GCD of 871, 345, 22, 431?

GCD of 871, 345, 22, 431 is 1

2. Where do I get the detailed procedure to find GCD of 871, 345, 22, 431?

You can find a detailed procedure to find GCD of 871, 345, 22, 431 on our page.

3. How to find GCD of 871, 345, 22, 431 on a calculator?

You can find the GCD of 871, 345, 22, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.