Where do I get the detailed procedure to find GCD of 195, 140, 340?

You can find a detailed procedure to find GCD of 195, 140, 340 on our page.

How to find GCD of 195, 140, 340 on a calculator?

You can find the GCD of 195, 140, 340 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 195, 140, 340 Calculator

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

Online GCD Calculator is useful to find the GCD of 195, 140, 340 quickly. Get the easiest ways to solve the greatest common divisor of 195, 140, 340 i.e 5 in different methods as follows.

How to Find GCD of Numbers 195, 140, 340 with Factoring?

Given Input numbers are 195, 140, 340

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (195, 140, 340) = 5.

Find GCD of 195, 140, 340 using Prime Factorization

Given numbers are 195, 140, 340

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

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

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 195, 140, 340 is 5.

Steps to Calculate GCD of 195, 140, 340 using LCM Formula

Given numbers are 195, 140, 340

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

Apply this formula for all numbers.

Step1:

LCM(195, 140) = 5460

GCD(195, 140) = ( 195 x 140 ) / 5460

= 195 / 140

= 195

Step2:

LCM(5, 340) = 340

GCD(5, 340) = ( 5 x 340 ) / 340

= 5 / 340

= 5

So, Greatest Common Divisor of 195, 140, 340 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 195, 140, 340

Given numbers are 195, 140, 340
The greatest common divisor of numbers 195, 140, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 140, 340 is 5.

FAQs on GCD of 195, 140, 340 Calculator

1. What is the GCD of 195, 140, 340?

GCD of given numbers 195, 140, 340 is 5

2. How to calculate the greatest common divisor of 195, 140, 340?

We can find the highest common divisor of 195, 140, 340 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 195, 140, 340 i.e 5.

3. How can I use the GCD of 195, 140, 340Calculator?

Out the numbers 195, 140, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.