GCD of 225, 905, 49, 908 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 225, 905, 49, 908 quickly. Get the easiest ways to solve the greatest common divisor of 225, 905, 49, 908 i.e 1 in different methods as follows.
Given Input numbers are 225, 905, 49, 908
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
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 (225, 905, 49, 908) = 1.
Given numbers are 225, 905, 49, 908
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 905 are 5 x 181
Prime factors of 49 are 7 x 7
Prime factors of 908 are 2 x 2 x 227
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 225, 905, 49, 908 using LCM Formula
Given numbers are 225, 905, 49, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 905) = 40725
GCD(225, 905) = ( 225 x 905 ) / 40725
= 225 / 905
= 225
Step2:
LCM(5, 49) = 245
GCD(5, 49) = ( 5 x 49 ) / 245
= 5 / 49
= 5
Step3:
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
= 1 / 908
= 1
So, Greatest Common Divisor of 225, 905, 49, 908 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 225, 905, 49, 908
Given numbers are 225, 905, 49, 908
The greatest common divisor of numbers 225, 905, 49, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 905, 49, 908 is 1.
FAQs on GCD of 225, 905, 49, 908 Calculator
1. What is the GCD of 225, 905, 49, 908?
GCD of given numbers 225, 905, 49, 908 is 1
2. How to calculate the greatest common divisor of 225, 905, 49, 908?
We can find the highest common divisor of 225, 905, 49, 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 225, 905, 49, 908 i.e 1.
3. How can I use the GCD of 225, 905, 49, 908Calculator?
Out the numbers 225, 905, 49, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.