GCD of 119, 342, 46, 144 Calculator

Given Input numbers are 119, 342, 46, 144

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 119, 342, 46, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 342, 46, 144 is 1.

Therefore, GCD of numbers 119, 342, 46, 144 is 1

Given Input Data is 119, 342, 46, 144

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

Prime Factorization of 119 is 7 x 17

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(119, 342) = 40698

GCD(119, 342) = ( 119 x 342 ) / 40698

GCD(119, 342) = 40698 / 40698

GCD(119, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 119, 342, 46, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 583, 34, 891
• GCD of 724, 666, 82, 434
• GCD of 688, 912, 38, 311
• GCD of 836, 603, 28, 606
• GCD of 770, 645, 47, 749

1. What is the GCD of 119, 342, 46, 144?

GCD of 119, 342, 46, 144 is 1

2. Where do I get the detailed procedure to find GCD of 119, 342, 46, 144?

You can find a detailed procedure to find GCD of 119, 342, 46, 144 on our page.

3. How to find GCD of 119, 342, 46, 144 on a calculator?

You can find the GCD of 119, 342, 46, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.