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 50, 854, 222, 336 i.e. 2 largest integer that divides all the numbers equally.
GCD of 50, 854, 222, 336 is 2
GCD(50, 854, 222, 336) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 854, 222, 336 is 2
GCD(50, 854, 222, 336) = 2
Given Input numbers are 50, 854, 222, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 50, 854, 222, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 854, 222, 336 is 2.
Therefore, GCD of numbers 50, 854, 222, 336 is 2
Given Input Data is 50, 854, 222, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(50, 854) = 21350
GCD(50, 854) = ( 50 x 854 ) / 21350
GCD(50, 854) = 42700 / 21350
GCD(50, 854) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
GCD(2, 222) = 444 / 222
GCD(2, 222) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
GCD(2, 336) = 672 / 336
GCD(2, 336) = 2
GCD of 50, 854, 222, 336 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 854, 222, 336?
GCD of 50, 854, 222, 336 is 2
2. Where do I get the detailed procedure to find GCD of 50, 854, 222, 336?
You can find a detailed procedure to find GCD of 50, 854, 222, 336 on our page.
3. How to find GCD of 50, 854, 222, 336 on a calculator?
You can find the GCD of 50, 854, 222, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.