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 162, 788, 36, 750 i.e. 2 largest integer that divides all the numbers equally.
GCD of 162, 788, 36, 750 is 2
GCD(162, 788, 36, 750) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 788, 36, 750 is 2
GCD(162, 788, 36, 750) = 2
Given Input numbers are 162, 788, 36, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 162, 788, 36, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 788, 36, 750 is 2.
Therefore, GCD of numbers 162, 788, 36, 750 is 2
Given Input Data is 162, 788, 36, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 36 is 2 x 2 x 3 x 3
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(162, 788) = 63828
GCD(162, 788) = ( 162 x 788 ) / 63828
GCD(162, 788) = 127656 / 63828
GCD(162, 788) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 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 162, 788, 36, 750 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 788, 36, 750?
GCD of 162, 788, 36, 750 is 2
2. Where do I get the detailed procedure to find GCD of 162, 788, 36, 750?
You can find a detailed procedure to find GCD of 162, 788, 36, 750 on our page.
3. How to find GCD of 162, 788, 36, 750 on a calculator?
You can find the GCD of 162, 788, 36, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.