GCD of 30, 75, 72, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 30, 75, 72, 72 quickly. Get the easiest ways to solve the greatest common divisor of 30, 75, 72, 72 i.e 3 in different methods as follows.
Given Input numbers are 30, 75, 72, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
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 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 (30, 75, 72, 72) = 3.
Given numbers are 30, 75, 72, 72
The list of prime factors of all numbers are
Prime factors of 30 are 2 x 3 x 5
Prime factors of 75 are 3 x 5 x 5
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 30, 75, 72, 72 is 3.
Steps to Calculate GCD of 30, 75, 72, 72 using LCM Formula
Given numbers are 30, 75, 72, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(30, 75) = 150
GCD(30, 75) = ( 30 x 75 ) / 150
= 30 / 75
= 30
Step2:
LCM(15, 72) = 360
GCD(15, 72) = ( 15 x 72 ) / 360
= 15 / 72
= 15
Step3:
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
= 3 / 72
= 3
So, Greatest Common Divisor of 30, 75, 72, 72 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 30, 75, 72, 72
Given numbers are 30, 75, 72, 72
The greatest common divisor of numbers 30, 75, 72, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 30, 75, 72, 72 is 3.
FAQs on GCD of 30, 75, 72, 72 Calculator
1. What is the GCD of 30, 75, 72, 72?
GCD of given numbers 30, 75, 72, 72 is 3
2. How to calculate the greatest common divisor of 30, 75, 72, 72?
We can find the highest common divisor of 30, 75, 72, 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 30, 75, 72, 72 i.e 3.
3. How can I use the GCD of 30, 75, 72, 72Calculator?
Out the numbers 30, 75, 72, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.