GCD of 695, 535, 365 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 695, 535, 365 i.e. 5 largest integer that divides all the numbers equally.

GCD of 695, 535, 365 is 5

GCD(695, 535, 365) = 5

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

GCD of

GCD of numbers 695, 535, 365 is 5

GCD(695, 535, 365) = 5

GCD of 695,535,365 Calculator

GCDof 695,535,365 is 5

Given Input numbers are 695, 535, 365

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 695, 535, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 535, 365 is 5.

Therefore, GCD of numbers 695, 535, 365 is 5

Finding GCD of 695, 535, 365 using Prime Factorization

Given Input Data is 695, 535, 365

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 535 is 5 x 107

Prime Factorization of 365 is 5 x 73

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 695, 535, 365 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(695, 535) = 74365

GCD(695, 535) = ( 695 x 535 ) / 74365

GCD(695, 535) = 371825 / 74365

GCD(695, 535) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 365

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

LCM(5, 365) = 365

GCD(5, 365) = ( 5 x 365 ) / 365

GCD(5, 365) = 1825 / 365

GCD(5, 365) = 5

GCD of 695, 535, 365 is 5

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 695, 535, 365

1. What is the GCD of 695, 535, 365?

GCD of 695, 535, 365 is 5


2. Where do I get the detailed procedure to find GCD of 695, 535, 365?

You can find a detailed procedure to find GCD of 695, 535, 365 on our page.


3. How to find GCD of 695, 535, 365 on a calculator?

You can find the GCD of 695, 535, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.