GCD of 792, 900, 30 Calculator
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, 900, 30 i.e. 6 largest integer that divides all the numbers equally.
GCD of 792, 900, 30 is 6
GCD(792, 900, 30) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 900, 30 is 6
GCD(792, 900, 30) = 6
GCDof 792,900,30 is 6
Given Input numbers are 792, 900, 30
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 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 792, 900, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 900, 30 is 6.
Therefore, GCD of numbers 792, 900, 30 is 6
Given Input Data is 792, 900, 30
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 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 30 is 2 x 3 x 5
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
Finding GCD of 792, 900, 30 using LCM Formula
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, 900) = 19800
GCD(792, 900) = ( 792 x 900 ) / 19800
GCD(792, 900) = 712800 / 19800
GCD(792, 900) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 30) = 180
GCD(36, 30) = ( 36 x 30 ) / 180
GCD(36, 30) = 1080 / 180
GCD(36, 30) = 6
GCD of 792, 900, 30 is 6
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FAQs on GCD of numbers 792, 900, 30
1. What is the GCD of 792, 900, 30?
GCD of 792, 900, 30 is 6
2. Where do I get the detailed procedure to find GCD of 792, 900, 30?
You can find a detailed procedure to find GCD of 792, 900, 30 on our page.
3. How to find GCD of 792, 900, 30 on a calculator?
You can find the GCD of 792, 900, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.