GCD of 303, 294, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 303, 294, 72 quickly. Get the easiest ways to solve the greatest common divisor of 303, 294, 72 i.e 3 in different methods as follows.
Given Input numbers are 303, 294, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (303, 294, 72) = 3.
Given numbers are 303, 294, 72
The list of prime factors of all numbers are
Prime factors of 303 are 3 x 101
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 303, 294, 72 is 3.
Steps to Calculate GCD of 303, 294, 72 using LCM Formula
Given numbers are 303, 294, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(303, 294) = 29694
GCD(303, 294) = ( 303 x 294 ) / 29694
= 303 / 294
= 303
Step2:
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
= 3 / 72
= 3
So, Greatest Common Divisor of 303, 294, 72 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 303, 294, 72
Given numbers are 303, 294, 72
The greatest common divisor of numbers 303, 294, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 294, 72 is 3.
FAQs on GCD of 303, 294, 72 Calculator
1. What is the GCD of 303, 294, 72?
GCD of given numbers 303, 294, 72 is 3
2. How to calculate the greatest common divisor of 303, 294, 72?
We can find the highest common divisor of 303, 294, 72 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 303, 294, 72 i.e 3.
3. How can I use the GCD of 303, 294, 72Calculator?
Out the numbers 303, 294, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.