Where do I get the detailed procedure to find GCD of 140, 114, 198?

You can find a detailed procedure to find GCD of 140, 114, 198 on our page.

How to find GCD of 140, 114, 198 on a calculator?

You can find the GCD of 140, 114, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 140, 114, 198 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 140, 114, 198 quickly. Get the easiest ways to solve the greatest common divisor of 140, 114, 198 i.e 2 in different methods as follows.

How to Find GCD of Numbers 140, 114, 198 with Factoring?

Given Input numbers are 140, 114, 198

In the factoring method, we have to find the divisors of all numbers

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (140, 114, 198) = 2.

Find GCD of 140, 114, 198 using Prime Factorization

Given numbers are 140, 114, 198

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 114 are 2 x 3 x 19

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 140, 114, 198 is 2.

Steps to Calculate GCD of 140, 114, 198 using LCM Formula

Given numbers are 140, 114, 198

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(140, 114) = 7980

GCD(140, 114) = ( 140 x 114 ) / 7980

= 140 / 114

= 140

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 140, 114, 198 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 140, 114, 198

Given numbers are 140, 114, 198
The greatest common divisor of numbers 140, 114, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 114, 198 is 2.

FAQs on GCD of 140, 114, 198 Calculator

1. What is the GCD of 140, 114, 198?

GCD of given numbers 140, 114, 198 is 2

2. How to calculate the greatest common divisor of 140, 114, 198?

We can find the highest common divisor of 140, 114, 198 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 140, 114, 198 i.e 2.

3. How can I use the GCD of 140, 114, 198Calculator?

Out the numbers 140, 114, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.