GCD of 116, 720, 300 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 116, 720, 300 quickly. Get the easiest ways to solve the greatest common divisor of 116, 720, 300 i.e 4 in different methods as follows.
Given Input numbers are 116, 720, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (116, 720, 300) = 4.
Given numbers are 116, 720, 300
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 116, 720, 300 is 4.
Steps to Calculate GCD of 116, 720, 300 using LCM Formula
Given numbers are 116, 720, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 720) = 20880
GCD(116, 720) = ( 116 x 720 ) / 20880
= 116 / 720
= 116
Step2:
LCM(4, 300) = 300
GCD(4, 300) = ( 4 x 300 ) / 300
= 4 / 300
= 4
So, Greatest Common Divisor of 116, 720, 300 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 116, 720, 300
Given numbers are 116, 720, 300
The greatest common divisor of numbers 116, 720, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 720, 300 is 4.
FAQs on GCD of 116, 720, 300 Calculator
1. What is the GCD of 116, 720, 300?
GCD of given numbers 116, 720, 300 is 4
2. How to calculate the greatest common divisor of 116, 720, 300?
We can find the highest common divisor of 116, 720, 300 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 116, 720, 300 i.e 4.
3. How can I use the GCD of 116, 720, 300Calculator?
Out the numbers 116, 720, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.