GCD of 867, 878, 42, 345 Calculator

Given Input numbers are 867, 878, 42, 345

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 867, 878, 42, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 878, 42, 345 is 1.

Therefore, GCD of numbers 867, 878, 42, 345 is 1

Given Input Data is 867, 878, 42, 345

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 878 is 2 x 439

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 345 is 3 x 5 x 23

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(867, 878) = 761226

GCD(867, 878) = ( 867 x 878 ) / 761226

GCD(867, 878) = 761226 / 761226

GCD(867, 878) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 867, 878, 42, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 747, 65, 249
• GCD of 947, 578, 25, 582
• GCD of 626, 205, 32, 289
• GCD of 579, 841, 23, 700
• GCD of 570, 967, 38, 120

1. What is the GCD of 867, 878, 42, 345?

GCD of 867, 878, 42, 345 is 1

2. Where do I get the detailed procedure to find GCD of 867, 878, 42, 345?

You can find a detailed procedure to find GCD of 867, 878, 42, 345 on our page.

3. How to find GCD of 867, 878, 42, 345 on a calculator?

You can find the GCD of 867, 878, 42, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.