GCD of 692, 344, 348, 871 Calculator

Given Input numbers are 692, 344, 348, 871

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 692, 344, 348, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 344, 348, 871 is 1.

Therefore, GCD of numbers 692, 344, 348, 871 is 1

Given Input Data is 692, 344, 348, 871

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(692, 344) = 59512

GCD(692, 344) = ( 692 x 344 ) / 59512

GCD(692, 344) = 238048 / 59512

GCD(692, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 348

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

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

GCD(4, 348) = 1392 / 348

GCD(4, 348) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 871

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

LCM(4, 871) = 3484

GCD(4, 871) = ( 4 x 871 ) / 3484

GCD(4, 871) = 3484 / 3484

GCD(4, 871) = 1

GCD of 692, 344, 348, 871 is 1

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1. What is the GCD of 692, 344, 348, 871?

GCD of 692, 344, 348, 871 is 1

2. Where do I get the detailed procedure to find GCD of 692, 344, 348, 871?

You can find a detailed procedure to find GCD of 692, 344, 348, 871 on our page.

3. How to find GCD of 692, 344, 348, 871 on a calculator?

You can find the GCD of 692, 344, 348, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.