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 416, 465, 383, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 416, 465, 383, 843 is 1
GCD(416, 465, 383, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 416, 465, 383, 843 is 1
GCD(416, 465, 383, 843) = 1
Given Input numbers are 416, 465, 383, 843
To find the GCD of numbers using factoring list out all the divisors of each number
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 416, 465, 383, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 465, 383, 843 is 1.
Therefore, GCD of numbers 416, 465, 383, 843 is 1
Given Input Data is 416, 465, 383, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 383 is 383
Prime Factorization of 843 is 3 x 281
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(416, 465) = 193440
GCD(416, 465) = ( 416 x 465 ) / 193440
GCD(416, 465) = 193440 / 193440
GCD(416, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 416, 465, 383, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 416, 465, 383, 843?
GCD of 416, 465, 383, 843 is 1
2. Where do I get the detailed procedure to find GCD of 416, 465, 383, 843?
You can find a detailed procedure to find GCD of 416, 465, 383, 843 on our page.
3. How to find GCD of 416, 465, 383, 843 on a calculator?
You can find the GCD of 416, 465, 383, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.