GCD of 41, 135, 429, 715 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 41, 135, 429, 715 i.e. 1 largest integer that divides all the numbers equally.

GCD of 41, 135, 429, 715 is 1

GCD(41, 135, 429, 715) = 1

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

GCD of

GCD of numbers 41, 135, 429, 715 is 1

GCD(41, 135, 429, 715) = 1

GCD of 41,135,429,715 Calculator

GCDof 41,135,429,715 is 1

Given Input numbers are 41, 135, 429, 715

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 41, 135, 429, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 135, 429, 715 is 1.

Therefore, GCD of numbers 41, 135, 429, 715 is 1

Finding GCD of 41, 135, 429, 715 using Prime Factorization

Given Input Data is 41, 135, 429, 715

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

Prime Factorization of 41 is 41

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 715 is 5 x 11 x 13

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

Finding GCD of 41, 135, 429, 715 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(41, 135) = 5535

GCD(41, 135) = ( 41 x 135 ) / 5535

GCD(41, 135) = 5535 / 5535

GCD(41, 135) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 41, 135, 429, 715 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 41, 135, 429, 715

1. What is the GCD of 41, 135, 429, 715?

GCD of 41, 135, 429, 715 is 1


2. Where do I get the detailed procedure to find GCD of 41, 135, 429, 715?

You can find a detailed procedure to find GCD of 41, 135, 429, 715 on our page.


3. How to find GCD of 41, 135, 429, 715 on a calculator?

You can find the GCD of 41, 135, 429, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.