GCD of 710, 375, 58, 689 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, 375, 58, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 710, 375, 58, 689 is 1

GCD(710, 375, 58, 689) = 1

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

GCD of

GCD of numbers 710, 375, 58, 689 is 1

GCD(710, 375, 58, 689) = 1

GCD of 710,375,58,689 Calculator

GCDof 710,375,58,689 is 1

Given Input numbers are 710, 375, 58, 689

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 710, 375, 58, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 375, 58, 689 is 1.

Therefore, GCD of numbers 710, 375, 58, 689 is 1

Finding GCD of 710, 375, 58, 689 using Prime Factorization

Given Input Data is 710, 375, 58, 689

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 689 is 13 x 53

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

Finding GCD of 710, 375, 58, 689 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, 375) = 53250

GCD(710, 375) = ( 710 x 375 ) / 53250

GCD(710, 375) = 266250 / 53250

GCD(710, 375) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 58

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

LCM(5, 58) = 290

GCD(5, 58) = ( 5 x 58 ) / 290

GCD(5, 58) = 290 / 290

GCD(5, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 710, 375, 58, 689 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 710, 375, 58, 689

1. What is the GCD of 710, 375, 58, 689?

GCD of 710, 375, 58, 689 is 1


2. Where do I get the detailed procedure to find GCD of 710, 375, 58, 689?

You can find a detailed procedure to find GCD of 710, 375, 58, 689 on our page.


3. How to find GCD of 710, 375, 58, 689 on a calculator?

You can find the GCD of 710, 375, 58, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.