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 234, 810, 750, 248 i.e. 2 largest integer that divides all the numbers equally.
GCD of 234, 810, 750, 248 is 2
GCD(234, 810, 750, 248) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 810, 750, 248 is 2
GCD(234, 810, 750, 248) = 2
Given Input numbers are 234, 810, 750, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 234, 810, 750, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 810, 750, 248 is 2.
Therefore, GCD of numbers 234, 810, 750, 248 is 2
Given Input Data is 234, 810, 750, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 248 is 2 x 2 x 2 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(234, 810) = 10530
GCD(234, 810) = ( 234 x 810 ) / 10530
GCD(234, 810) = 189540 / 10530
GCD(234, 810) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 750) = 2250
GCD(18, 750) = ( 18 x 750 ) / 2250
GCD(18, 750) = 13500 / 2250
GCD(18, 750) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 248) = 744
GCD(6, 248) = ( 6 x 248 ) / 744
GCD(6, 248) = 1488 / 744
GCD(6, 248) = 2
GCD of 234, 810, 750, 248 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 810, 750, 248?
GCD of 234, 810, 750, 248 is 2
2. Where do I get the detailed procedure to find GCD of 234, 810, 750, 248?
You can find a detailed procedure to find GCD of 234, 810, 750, 248 on our page.
3. How to find GCD of 234, 810, 750, 248 on a calculator?
You can find the GCD of 234, 810, 750, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.