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, 242, 510, 434 i.e. 2 largest integer that divides all the numbers equally.
GCD of 162, 242, 510, 434 is 2
GCD(162, 242, 510, 434) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 242, 510, 434 is 2
GCD(162, 242, 510, 434) = 2
Given Input numbers are 162, 242, 510, 434
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 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 162, 242, 510, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 242, 510, 434 is 2.
Therefore, GCD of numbers 162, 242, 510, 434 is 2
Given Input Data is 162, 242, 510, 434
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 242 is 2 x 11 x 11
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 434 is 2 x 7 x 31
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, 242) = 19602
GCD(162, 242) = ( 162 x 242 ) / 19602
GCD(162, 242) = 39204 / 19602
GCD(162, 242) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 510) = 510
GCD(2, 510) = ( 2 x 510 ) / 510
GCD(2, 510) = 1020 / 510
GCD(2, 510) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 434) = 434
GCD(2, 434) = ( 2 x 434 ) / 434
GCD(2, 434) = 868 / 434
GCD(2, 434) = 2
GCD of 162, 242, 510, 434 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 242, 510, 434?
GCD of 162, 242, 510, 434 is 2
2. Where do I get the detailed procedure to find GCD of 162, 242, 510, 434?
You can find a detailed procedure to find GCD of 162, 242, 510, 434 on our page.
3. How to find GCD of 162, 242, 510, 434 on a calculator?
You can find the GCD of 162, 242, 510, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.