GCD of 135, 693, 440, 145 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 135, 693, 440, 145 i.e. 1 largest integer that divides all the numbers equally.

GCD of 135, 693, 440, 145 is 1

GCD(135, 693, 440, 145) = 1

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

GCD of

GCD of numbers 135, 693, 440, 145 is 1

GCD(135, 693, 440, 145) = 1

GCD of 135,693,440,145 Calculator

GCDof 135,693,440,145 is 1

Given Input numbers are 135, 693, 440, 145

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 135, 693, 440, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 693, 440, 145 is 1.

Therefore, GCD of numbers 135, 693, 440, 145 is 1

Finding GCD of 135, 693, 440, 145 using Prime Factorization

Given Input Data is 135, 693, 440, 145

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 145 is 5 x 29

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

Finding GCD of 135, 693, 440, 145 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(135, 693) = 10395

GCD(135, 693) = ( 135 x 693 ) / 10395

GCD(135, 693) = 93555 / 10395

GCD(135, 693) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 440

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

LCM(9, 440) = 3960

GCD(9, 440) = ( 9 x 440 ) / 3960

GCD(9, 440) = 3960 / 3960

GCD(9, 440) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 135, 693, 440, 145 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 135, 693, 440, 145

1. What is the GCD of 135, 693, 440, 145?

GCD of 135, 693, 440, 145 is 1


2. Where do I get the detailed procedure to find GCD of 135, 693, 440, 145?

You can find a detailed procedure to find GCD of 135, 693, 440, 145 on our page.


3. How to find GCD of 135, 693, 440, 145 on a calculator?

You can find the GCD of 135, 693, 440, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.