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 483, 465, 96, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 465, 96, 136 is 1
GCD(483, 465, 96, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 465, 96, 136 is 1
GCD(483, 465, 96, 136) = 1
Given Input numbers are 483, 465, 96, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
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 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 483, 465, 96, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 465, 96, 136 is 1.
Therefore, GCD of numbers 483, 465, 96, 136 is 1
Given Input Data is 483, 465, 96, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(483, 465) = 74865
GCD(483, 465) = ( 483 x 465 ) / 74865
GCD(483, 465) = 224595 / 74865
GCD(483, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 136) = 408
GCD(3, 136) = ( 3 x 136 ) / 408
GCD(3, 136) = 408 / 408
GCD(3, 136) = 1
GCD of 483, 465, 96, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 465, 96, 136?
GCD of 483, 465, 96, 136 is 1
2. Where do I get the detailed procedure to find GCD of 483, 465, 96, 136?
You can find a detailed procedure to find GCD of 483, 465, 96, 136 on our page.
3. How to find GCD of 483, 465, 96, 136 on a calculator?
You can find the GCD of 483, 465, 96, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.