GCD of 112, 340, 119 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 112, 340, 119 i.e. 1 largest integer that divides all the numbers equally.

GCD of 112, 340, 119 is 1

GCD(112, 340, 119) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 112, 340, 119 is 1

GCD(112, 340, 119) = 1

GCD of 112,340,119 Calculator

GCDof 112,340,119 is 1

Given Input numbers are 112, 340, 119

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 119

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

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 112, 340, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 340, 119 is 1.

Therefore, GCD of numbers 112, 340, 119 is 1

Finding GCD of 112, 340, 119 using Prime Factorization

Given Input Data is 112, 340, 119

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 119 is 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 112, 340, 119 using LCM Formula

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(112, 340) = 9520

GCD(112, 340) = ( 112 x 340 ) / 9520

GCD(112, 340) = 38080 / 9520

GCD(112, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 119

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

LCM(4, 119) = 476

GCD(4, 119) = ( 4 x 119 ) / 476

GCD(4, 119) = 476 / 476

GCD(4, 119) = 1

GCD of 112, 340, 119 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 112, 340, 119

1. What is the GCD of 112, 340, 119?

GCD of 112, 340, 119 is 1

2. Where do I get the detailed procedure to find GCD of 112, 340, 119?

You can find a detailed procedure to find GCD of 112, 340, 119 on our page.

3. How to find GCD of 112, 340, 119 on a calculator?

You can find the GCD of 112, 340, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.