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 814, 160, 50, 430 i.e. 2 largest integer that divides all the numbers equally.
GCD of 814, 160, 50, 430 is 2
GCD(814, 160, 50, 430) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 160, 50, 430 is 2
GCD(814, 160, 50, 430) = 2
Given Input numbers are 814, 160, 50, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 814, 160, 50, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 160, 50, 430 is 2.
Therefore, GCD of numbers 814, 160, 50, 430 is 2
Given Input Data is 814, 160, 50, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 430 is 2 x 5 x 43
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(814, 160) = 65120
GCD(814, 160) = ( 814 x 160 ) / 65120
GCD(814, 160) = 130240 / 65120
GCD(814, 160) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 430) = 430
GCD(2, 430) = ( 2 x 430 ) / 430
GCD(2, 430) = 860 / 430
GCD(2, 430) = 2
GCD of 814, 160, 50, 430 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 160, 50, 430?
GCD of 814, 160, 50, 430 is 2
2. Where do I get the detailed procedure to find GCD of 814, 160, 50, 430?
You can find a detailed procedure to find GCD of 814, 160, 50, 430 on our page.
3. How to find GCD of 814, 160, 50, 430 on a calculator?
You can find the GCD of 814, 160, 50, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.