GCD of 438, 456, 903 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 438, 456, 903 quickly. Get the easiest ways to solve the greatest common divisor of 438, 456, 903 i.e 3 in different methods as follows.
Given Input numbers are 438, 456, 903
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
GCD of numbers is the greatest common divisor
So, the GCD (438, 456, 903) = 3.
Given numbers are 438, 456, 903
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 903 are 3 x 7 x 43
The highest common occurrence is 31
Therefore, GCD of 438, 456, 903 is 3.
Steps to Calculate GCD of 438, 456, 903 using LCM Formula
Given numbers are 438, 456, 903
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 456) = 33288
GCD(438, 456) = ( 438 x 456 ) / 33288
= 438 / 456
= 438
Step2:
LCM(6, 903) = 1806
GCD(6, 903) = ( 6 x 903 ) / 1806
= 6 / 903
= 6
So, Greatest Common Divisor of 438, 456, 903 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 438, 456, 903
Given numbers are 438, 456, 903
The greatest common divisor of numbers 438, 456, 903 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 456, 903 is 3.
FAQs on GCD of 438, 456, 903 Calculator
1. What is the GCD of 438, 456, 903?
GCD of given numbers 438, 456, 903 is 3
2. How to calculate the greatest common divisor of 438, 456, 903?
We can find the highest common divisor of 438, 456, 903 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 438, 456, 903 i.e 3.
3. How can I use the GCD of 438, 456, 903Calculator?
Out the numbers 438, 456, 903 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.