GCD of 900, 168, 788 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 168, 788 quickly. Get the easiest ways to solve the greatest common divisor of 900, 168, 788 i.e 4 in different methods as follows.
Given Input numbers are 900, 168, 788
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (900, 168, 788) = 4.
Given numbers are 900, 168, 788
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 22
Therefore, GCD of 900, 168, 788 is 4.
Steps to Calculate GCD of 900, 168, 788 using LCM Formula
Given numbers are 900, 168, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 168) = 12600
GCD(900, 168) = ( 900 x 168 ) / 12600
= 900 / 168
= 900
Step2:
LCM(12, 788) = 2364
GCD(12, 788) = ( 12 x 788 ) / 2364
= 12 / 788
= 12
So, Greatest Common Divisor of 900, 168, 788 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 168, 788
Given numbers are 900, 168, 788
The greatest common divisor of numbers 900, 168, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 168, 788 is 4.
FAQs on GCD of 900, 168, 788 Calculator
1. What is the GCD of 900, 168, 788?
GCD of given numbers 900, 168, 788 is 4
2. How to calculate the greatest common divisor of 900, 168, 788?
We can find the highest common divisor of 900, 168, 788 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 900, 168, 788 i.e 4.
3. How can I use the GCD of 900, 168, 788Calculator?
Out the numbers 900, 168, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.