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 numbers 41, 135, 429, 715 is 1
GCD(41, 135, 429, 715) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.