GCD of 808, 900, 378 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 808, 900, 378 quickly. Get the easiest ways to solve the greatest common divisor of 808, 900, 378 i.e 2 in different methods as follows.
Given Input numbers are 808, 900, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (808, 900, 378) = 2.
Given numbers are 808, 900, 378
The list of prime factors of all numbers are
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 808, 900, 378 is 2.
Steps to Calculate GCD of 808, 900, 378 using LCM Formula
Given numbers are 808, 900, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(808, 900) = 181800
GCD(808, 900) = ( 808 x 900 ) / 181800
= 808 / 900
= 808
Step2:
LCM(4, 378) = 756
GCD(4, 378) = ( 4 x 378 ) / 756
= 4 / 378
= 4
So, Greatest Common Divisor of 808, 900, 378 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 808, 900, 378
Given numbers are 808, 900, 378
The greatest common divisor of numbers 808, 900, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 900, 378 is 2.
FAQs on GCD of 808, 900, 378 Calculator
1. What is the GCD of 808, 900, 378?
GCD of given numbers 808, 900, 378 is 2
2. How to calculate the greatest common divisor of 808, 900, 378?
We can find the highest common divisor of 808, 900, 378 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 808, 900, 378 i.e 2.
3. How can I use the GCD of 808, 900, 378Calculator?
Out the numbers 808, 900, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.