GCD of 408, 704, 908 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 408, 704, 908 quickly. Get the easiest ways to solve the greatest common divisor of 408, 704, 908 i.e 4 in different methods as follows.
Given Input numbers are 408, 704, 908
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
GCD of numbers is the greatest common divisor
So, the GCD (408, 704, 908) = 4.
Given numbers are 408, 704, 908
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 908 are 2 x 2 x 227
The highest common occurrence is 22
Therefore, GCD of 408, 704, 908 is 4.
Steps to Calculate GCD of 408, 704, 908 using LCM Formula
Given numbers are 408, 704, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 704) = 35904
GCD(408, 704) = ( 408 x 704 ) / 35904
= 408 / 704
= 408
Step2:
LCM(8, 908) = 1816
GCD(8, 908) = ( 8 x 908 ) / 1816
= 8 / 908
= 8
So, Greatest Common Divisor of 408, 704, 908 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 408, 704, 908
Given numbers are 408, 704, 908
The greatest common divisor of numbers 408, 704, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 704, 908 is 4.
FAQs on GCD of 408, 704, 908 Calculator
1. What is the GCD of 408, 704, 908?
GCD of given numbers 408, 704, 908 is 4
2. How to calculate the greatest common divisor of 408, 704, 908?
We can find the highest common divisor of 408, 704, 908 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 408, 704, 908 i.e 4.
3. How can I use the GCD of 408, 704, 908Calculator?
Out the numbers 408, 704, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.