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, 620, 16, 950 i.e. 2 largest integer that divides all the numbers equally.
GCD of 162, 620, 16, 950 is 2
GCD(162, 620, 16, 950) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 620, 16, 950 is 2
GCD(162, 620, 16, 950) = 2
Given Input numbers are 162, 620, 16, 950
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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 162, 620, 16, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 620, 16, 950 is 2.
Therefore, GCD of numbers 162, 620, 16, 950 is 2
Given Input Data is 162, 620, 16, 950
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 620 is 2 x 2 x 5 x 31
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(162, 620) = 50220
GCD(162, 620) = ( 162 x 620 ) / 50220
GCD(162, 620) = 100440 / 50220
GCD(162, 620) = 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 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 950) = 950
GCD(2, 950) = ( 2 x 950 ) / 950
GCD(2, 950) = 1900 / 950
GCD(2, 950) = 2
GCD of 162, 620, 16, 950 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 620, 16, 950?
GCD of 162, 620, 16, 950 is 2
2. Where do I get the detailed procedure to find GCD of 162, 620, 16, 950?
You can find a detailed procedure to find GCD of 162, 620, 16, 950 on our page.
3. How to find GCD of 162, 620, 16, 950 on a calculator?
You can find the GCD of 162, 620, 16, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.