GCD of 710, 240, 40, 171 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 710, 240, 40, 171 i.e. 1 largest integer that divides all the numbers equally.

GCD of 710, 240, 40, 171 is 1

GCD(710, 240, 40, 171) = 1

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

GCD of

GCD of numbers 710, 240, 40, 171 is 1

GCD(710, 240, 40, 171) = 1

GCD of 710,240,40,171 Calculator

GCDof 710,240,40,171 is 1

Given Input numbers are 710, 240, 40, 171

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 710, 240, 40, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 240, 40, 171 is 1.

Therefore, GCD of numbers 710, 240, 40, 171 is 1

Finding GCD of 710, 240, 40, 171 using Prime Factorization

Given Input Data is 710, 240, 40, 171

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 171 is 3 x 3 x 19

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

Finding GCD of 710, 240, 40, 171 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(710, 240) = 17040

GCD(710, 240) = ( 710 x 240 ) / 17040

GCD(710, 240) = 170400 / 17040

GCD(710, 240) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 40

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

LCM(10, 40) = 40

GCD(10, 40) = ( 10 x 40 ) / 40

GCD(10, 40) = 400 / 40

GCD(10, 40) = 10


Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 171

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

LCM(10, 171) = 1710

GCD(10, 171) = ( 10 x 171 ) / 1710

GCD(10, 171) = 1710 / 1710

GCD(10, 171) = 1

GCD of 710, 240, 40, 171 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 710, 240, 40, 171

1. What is the GCD of 710, 240, 40, 171?

GCD of 710, 240, 40, 171 is 1


2. Where do I get the detailed procedure to find GCD of 710, 240, 40, 171?

You can find a detailed procedure to find GCD of 710, 240, 40, 171 on our page.


3. How to find GCD of 710, 240, 40, 171 on a calculator?

You can find the GCD of 710, 240, 40, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.