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 750, 243, 85, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 243, 85, 792 is 1
GCD(750, 243, 85, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 243, 85, 792 is 1
GCD(750, 243, 85, 792) = 1
Given Input numbers are 750, 243, 85, 792
To find the GCD of numbers using factoring list out all the divisors of each number
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 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
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
Greatest Common Divisior
We found the divisors of 750, 243, 85, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 243, 85, 792 is 1.
Therefore, GCD of numbers 750, 243, 85, 792 is 1
Given Input Data is 750, 243, 85, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 85 is 5 x 17
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(750, 243) = 60750
GCD(750, 243) = ( 750 x 243 ) / 60750
GCD(750, 243) = 182250 / 60750
GCD(750, 243) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 85) = 255
GCD(3, 85) = ( 3 x 85 ) / 255
GCD(3, 85) = 255 / 255
GCD(3, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 750, 243, 85, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 243, 85, 792?
GCD of 750, 243, 85, 792 is 1
2. Where do I get the detailed procedure to find GCD of 750, 243, 85, 792?
You can find a detailed procedure to find GCD of 750, 243, 85, 792 on our page.
3. How to find GCD of 750, 243, 85, 792 on a calculator?
You can find the GCD of 750, 243, 85, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.