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, 635, 716, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 635, 716, 541 is 1
GCD(135, 635, 716, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 635, 716, 541 is 1
GCD(135, 635, 716, 541) = 1
Given Input numbers are 135, 635, 716, 541
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 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 135, 635, 716, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 635, 716, 541 is 1.
Therefore, GCD of numbers 135, 635, 716, 541 is 1
Given Input Data is 135, 635, 716, 541
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 635 is 5 x 127
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 541 is 541
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(135, 635) = 17145
GCD(135, 635) = ( 135 x 635 ) / 17145
GCD(135, 635) = 85725 / 17145
GCD(135, 635) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 716) = 3580
GCD(5, 716) = ( 5 x 716 ) / 3580
GCD(5, 716) = 3580 / 3580
GCD(5, 716) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 541) = 541
GCD(1, 541) = ( 1 x 541 ) / 541
GCD(1, 541) = 541 / 541
GCD(1, 541) = 1
GCD of 135, 635, 716, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 635, 716, 541?
GCD of 135, 635, 716, 541 is 1
2. Where do I get the detailed procedure to find GCD of 135, 635, 716, 541?
You can find a detailed procedure to find GCD of 135, 635, 716, 541 on our page.
3. How to find GCD of 135, 635, 716, 541 on a calculator?
You can find the GCD of 135, 635, 716, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.