GCD of 678, 340, 14, 161 Calculator

Given Input numbers are 678, 340, 14, 161

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 678, 340, 14, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 340, 14, 161 is 1.

Therefore, GCD of numbers 678, 340, 14, 161 is 1

Given Input Data is 678, 340, 14, 161

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 161 is 7 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(678, 340) = 115260

GCD(678, 340) = ( 678 x 340 ) / 115260

GCD(678, 340) = 230520 / 115260

GCD(678, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

GCD of 678, 340, 14, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 912, 99, 332
• GCD of 122, 327, 49, 669
• GCD of 876, 450, 70, 554
• GCD of 657, 668, 87, 864
• GCD of 157, 472, 75, 406

1. What is the GCD of 678, 340, 14, 161?

GCD of 678, 340, 14, 161 is 1

2. Where do I get the detailed procedure to find GCD of 678, 340, 14, 161?

You can find a detailed procedure to find GCD of 678, 340, 14, 161 on our page.

3. How to find GCD of 678, 340, 14, 161 on a calculator?

You can find the GCD of 678, 340, 14, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.