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 110, 432, 842, 750 i.e. 2 largest integer that divides all the numbers equally.
GCD of 110, 432, 842, 750 is 2
GCD(110, 432, 842, 750) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 432, 842, 750 is 2
GCD(110, 432, 842, 750) = 2
Given Input numbers are 110, 432, 842, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
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
Greatest Common Divisior
We found the divisors of 110, 432, 842, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 432, 842, 750 is 2.
Therefore, GCD of numbers 110, 432, 842, 750 is 2
Given Input Data is 110, 432, 842, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 842 is 2 x 421
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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(110, 432) = 23760
GCD(110, 432) = ( 110 x 432 ) / 23760
GCD(110, 432) = 47520 / 23760
GCD(110, 432) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
GCD(2, 842) = 1684 / 842
GCD(2, 842) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
GCD(2, 750) = 1500 / 750
GCD(2, 750) = 2
GCD of 110, 432, 842, 750 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 432, 842, 750?
GCD of 110, 432, 842, 750 is 2
2. Where do I get the detailed procedure to find GCD of 110, 432, 842, 750?
You can find a detailed procedure to find GCD of 110, 432, 842, 750 on our page.
3. How to find GCD of 110, 432, 842, 750 on a calculator?
You can find the GCD of 110, 432, 842, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.