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 550, 850, 244, 364 i.e. 2 largest integer that divides all the numbers equally.
GCD of 550, 850, 244, 364 is 2
GCD(550, 850, 244, 364) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 850, 244, 364 is 2
GCD(550, 850, 244, 364) = 2
Given Input numbers are 550, 850, 244, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 550, 850, 244, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 850, 244, 364 is 2.
Therefore, GCD of numbers 550, 850, 244, 364 is 2
Given Input Data is 550, 850, 244, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 364 is 2 x 2 x 7 x 13
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(550, 850) = 9350
GCD(550, 850) = ( 550 x 850 ) / 9350
GCD(550, 850) = 467500 / 9350
GCD(550, 850) = 50
Step2:
Here we consider the GCD from the above i.e. 50 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(50, 244) = 6100
GCD(50, 244) = ( 50 x 244 ) / 6100
GCD(50, 244) = 12200 / 6100
GCD(50, 244) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
GCD of 550, 850, 244, 364 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 850, 244, 364?
GCD of 550, 850, 244, 364 is 2
2. Where do I get the detailed procedure to find GCD of 550, 850, 244, 364?
You can find a detailed procedure to find GCD of 550, 850, 244, 364 on our page.
3. How to find GCD of 550, 850, 244, 364 on a calculator?
You can find the GCD of 550, 850, 244, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.