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, 416, 384, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 416, 384, 655 is 1
GCD(465, 416, 384, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 416, 384, 655 is 1
GCD(465, 416, 384, 655) = 1
Given Input numbers are 465, 416, 384, 655
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 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 465, 416, 384, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 416, 384, 655 is 1.
Therefore, GCD of numbers 465, 416, 384, 655 is 1
Given Input Data is 465, 416, 384, 655
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 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 655 is 5 x 131
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, 416) = 193440
GCD(465, 416) = ( 465 x 416 ) / 193440
GCD(465, 416) = 193440 / 193440
GCD(465, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 465, 416, 384, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 416, 384, 655?
GCD of 465, 416, 384, 655 is 1
2. Where do I get the detailed procedure to find GCD of 465, 416, 384, 655?
You can find a detailed procedure to find GCD of 465, 416, 384, 655 on our page.
3. How to find GCD of 465, 416, 384, 655 on a calculator?
You can find the GCD of 465, 416, 384, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.