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 360, 542, 16, 466 i.e. 2 largest integer that divides all the numbers equally.
GCD of 360, 542, 16, 466 is 2
GCD(360, 542, 16, 466) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 542, 16, 466 is 2
GCD(360, 542, 16, 466) = 2
Given Input numbers are 360, 542, 16, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 360, 542, 16, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 542, 16, 466 is 2.
Therefore, GCD of numbers 360, 542, 16, 466 is 2
Given Input Data is 360, 542, 16, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 542 is 2 x 271
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 466 is 2 x 233
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(360, 542) = 97560
GCD(360, 542) = ( 360 x 542 ) / 97560
GCD(360, 542) = 195120 / 97560
GCD(360, 542) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
GCD(2, 466) = 932 / 466
GCD(2, 466) = 2
GCD of 360, 542, 16, 466 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 542, 16, 466?
GCD of 360, 542, 16, 466 is 2
2. Where do I get the detailed procedure to find GCD of 360, 542, 16, 466?
You can find a detailed procedure to find GCD of 360, 542, 16, 466 on our page.
3. How to find GCD of 360, 542, 16, 466 on a calculator?
You can find the GCD of 360, 542, 16, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.