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, 246, 46, 480 i.e. 2 largest integer that divides all the numbers equally.
GCD of 416, 246, 46, 480 is 2
GCD(416, 246, 46, 480) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 416, 246, 46, 480 is 2
GCD(416, 246, 46, 480) = 2
Given Input numbers are 416, 246, 46, 480
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 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 416, 246, 46, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 246, 46, 480 is 2.
Therefore, GCD of numbers 416, 246, 46, 480 is 2
Given Input Data is 416, 246, 46, 480
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 246 is 2 x 3 x 41
Prime Factorization of 46 is 2 x 23
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 246) = 51168
GCD(416, 246) = ( 416 x 246 ) / 51168
GCD(416, 246) = 102336 / 51168
GCD(416, 246) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
GCD(2, 46) = 92 / 46
GCD(2, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
GCD(2, 480) = 960 / 480
GCD(2, 480) = 2
GCD of 416, 246, 46, 480 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 416, 246, 46, 480?
GCD of 416, 246, 46, 480 is 2
2. Where do I get the detailed procedure to find GCD of 416, 246, 46, 480?
You can find a detailed procedure to find GCD of 416, 246, 46, 480 on our page.
3. How to find GCD of 416, 246, 46, 480 on a calculator?
You can find the GCD of 416, 246, 46, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.