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 162, 456, 63, 918 i.e. 3 largest integer that divides all the numbers equally.
GCD of 162, 456, 63, 918 is 3
GCD(162, 456, 63, 918) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 456, 63, 918 is 3
GCD(162, 456, 63, 918) = 3
Given Input numbers are 162, 456, 63, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 162, 456, 63, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 456, 63, 918 is 3.
Therefore, GCD of numbers 162, 456, 63, 918 is 3
Given Input Data is 162, 456, 63, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(162, 456) = 12312
GCD(162, 456) = ( 162 x 456 ) / 12312
GCD(162, 456) = 73872 / 12312
GCD(162, 456) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 63) = 126
GCD(6, 63) = ( 6 x 63 ) / 126
GCD(6, 63) = 378 / 126
GCD(6, 63) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
GCD(3, 918) = 2754 / 918
GCD(3, 918) = 3
GCD of 162, 456, 63, 918 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 456, 63, 918?
GCD of 162, 456, 63, 918 is 3
2. Where do I get the detailed procedure to find GCD of 162, 456, 63, 918?
You can find a detailed procedure to find GCD of 162, 456, 63, 918 on our page.
3. How to find GCD of 162, 456, 63, 918 on a calculator?
You can find the GCD of 162, 456, 63, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.