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, 265, 65, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 265, 65, 412 is 1
GCD(135, 265, 65, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 265, 65, 412 is 1
GCD(135, 265, 65, 412) = 1
Given Input numbers are 135, 265, 65, 412
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 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 135, 265, 65, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 265, 65, 412 is 1.
Therefore, GCD of numbers 135, 265, 65, 412 is 1
Given Input Data is 135, 265, 65, 412
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 265 is 5 x 53
Prime Factorization of 65 is 5 x 13
Prime Factorization of 412 is 2 x 2 x 103
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, 265) = 7155
GCD(135, 265) = ( 135 x 265 ) / 7155
GCD(135, 265) = 35775 / 7155
GCD(135, 265) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 65) = 65
GCD(5, 65) = ( 5 x 65 ) / 65
GCD(5, 65) = 325 / 65
GCD(5, 65) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 412) = 2060
GCD(5, 412) = ( 5 x 412 ) / 2060
GCD(5, 412) = 2060 / 2060
GCD(5, 412) = 1
GCD of 135, 265, 65, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 265, 65, 412?
GCD of 135, 265, 65, 412 is 1
2. Where do I get the detailed procedure to find GCD of 135, 265, 65, 412?
You can find a detailed procedure to find GCD of 135, 265, 65, 412 on our page.
3. How to find GCD of 135, 265, 65, 412 on a calculator?
You can find the GCD of 135, 265, 65, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.