GCD of 15, 72, 39, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 15, 72, 39, 99 quickly. Get the easiest ways to solve the greatest common divisor of 15, 72, 39, 99 i.e 3 in different methods as follows.
Given Input numbers are 15, 72, 39, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
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
Divisors of 39 :
The positive integer divisors of 39 that completely divides 39 are.
1, 3, 13, 39
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
GCD of numbers is the greatest common divisor
So, the GCD (15, 72, 39, 99) = 3.
Given numbers are 15, 72, 39, 99
The list of prime factors of all numbers are
Prime factors of 15 are 3 x 5
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 39 are 3 x 13
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 15, 72, 39, 99 is 3.
Steps to Calculate GCD of 15, 72, 39, 99 using LCM Formula
Given numbers are 15, 72, 39, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(15, 72) = 360
GCD(15, 72) = ( 15 x 72 ) / 360
= 15 / 72
= 15
Step2:
LCM(3, 39) = 39
GCD(3, 39) = ( 3 x 39 ) / 39
= 3 / 39
= 3
Step3:
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
= 3 / 99
= 3
So, Greatest Common Divisor of 15, 72, 39, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 15, 72, 39, 99
Given numbers are 15, 72, 39, 99
The greatest common divisor of numbers 15, 72, 39, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 15, 72, 39, 99 is 3.
FAQs on GCD of 15, 72, 39, 99 Calculator
1. What is the GCD of 15, 72, 39, 99?
GCD of given numbers 15, 72, 39, 99 is 3
2. How to calculate the greatest common divisor of 15, 72, 39, 99?
We can find the highest common divisor of 15, 72, 39, 99 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 15, 72, 39, 99 i.e 3.
3. How can I use the GCD of 15, 72, 39, 99Calculator?
Out the numbers 15, 72, 39, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.