GCD of 903, 198, 732 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 903, 198, 732 quickly. Get the easiest ways to solve the greatest common divisor of 903, 198, 732 i.e 3 in different methods as follows.
Given Input numbers are 903, 198, 732
In the factoring method, we have to find the divisors of all numbers
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (903, 198, 732) = 3.
Given numbers are 903, 198, 732
The list of prime factors of all numbers are
Prime factors of 903 are 3 x 7 x 43
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 31
Therefore, GCD of 903, 198, 732 is 3.
Steps to Calculate GCD of 903, 198, 732 using LCM Formula
Given numbers are 903, 198, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(903, 198) = 59598
GCD(903, 198) = ( 903 x 198 ) / 59598
= 903 / 198
= 903
Step2:
LCM(3, 732) = 732
GCD(3, 732) = ( 3 x 732 ) / 732
= 3 / 732
= 3
So, Greatest Common Divisor of 903, 198, 732 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 903, 198, 732
Given numbers are 903, 198, 732
The greatest common divisor of numbers 903, 198, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 903, 198, 732 is 3.
FAQs on GCD of 903, 198, 732 Calculator
1. What is the GCD of 903, 198, 732?
GCD of given numbers 903, 198, 732 is 3
2. How to calculate the greatest common divisor of 903, 198, 732?
We can find the highest common divisor of 903, 198, 732 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 903, 198, 732 i.e 3.
3. How can I use the GCD of 903, 198, 732Calculator?
Out the numbers 903, 198, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.