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 792, 256, 50, 698 i.e. 2 largest integer that divides all the numbers equally.
GCD of 792, 256, 50, 698 is 2
GCD(792, 256, 50, 698) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 256, 50, 698 is 2
GCD(792, 256, 50, 698) = 2
Given Input numbers are 792, 256, 50, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 792, 256, 50, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 256, 50, 698 is 2.
Therefore, GCD of numbers 792, 256, 50, 698 is 2
Given Input Data is 792, 256, 50, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 698 is 2 x 349
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(792, 256) = 25344
GCD(792, 256) = ( 792 x 256 ) / 25344
GCD(792, 256) = 202752 / 25344
GCD(792, 256) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 50) = 200
GCD(8, 50) = ( 8 x 50 ) / 200
GCD(8, 50) = 400 / 200
GCD(8, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
GCD(2, 698) = 1396 / 698
GCD(2, 698) = 2
GCD of 792, 256, 50, 698 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 256, 50, 698?
GCD of 792, 256, 50, 698 is 2
2. Where do I get the detailed procedure to find GCD of 792, 256, 50, 698?
You can find a detailed procedure to find GCD of 792, 256, 50, 698 on our page.
3. How to find GCD of 792, 256, 50, 698 on a calculator?
You can find the GCD of 792, 256, 50, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.