GCD of 100, 279, 68, 342 Calculator

Given Input numbers are 100, 279, 68, 342

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 100, 279, 68, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 279, 68, 342 is 1.

Therefore, GCD of numbers 100, 279, 68, 342 is 1

Given Input Data is 100, 279, 68, 342

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(100, 279) = 27900

GCD(100, 279) = ( 100 x 279 ) / 27900

GCD(100, 279) = 27900 / 27900

GCD(100, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 100, 279, 68, 342 is 1

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1. What is the GCD of 100, 279, 68, 342?

GCD of 100, 279, 68, 342 is 1

2. Where do I get the detailed procedure to find GCD of 100, 279, 68, 342?

You can find a detailed procedure to find GCD of 100, 279, 68, 342 on our page.

3. How to find GCD of 100, 279, 68, 342 on a calculator?

You can find the GCD of 100, 279, 68, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.