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 465, 319, 865, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 319, 865, 135 is 1
GCD(465, 319, 865, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 319, 865, 135 is 1
GCD(465, 319, 865, 135) = 1
Given Input numbers are 465, 319, 865, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 465, 319, 865, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 319, 865, 135 is 1.
Therefore, GCD of numbers 465, 319, 865, 135 is 1
Given Input Data is 465, 319, 865, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 319 is 11 x 29
Prime Factorization of 865 is 5 x 173
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(465, 319) = 148335
GCD(465, 319) = ( 465 x 319 ) / 148335
GCD(465, 319) = 148335 / 148335
GCD(465, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 465, 319, 865, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 319, 865, 135?
GCD of 465, 319, 865, 135 is 1
2. Where do I get the detailed procedure to find GCD of 465, 319, 865, 135?
You can find a detailed procedure to find GCD of 465, 319, 865, 135 on our page.
3. How to find GCD of 465, 319, 865, 135 on a calculator?
You can find the GCD of 465, 319, 865, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.