GCD of 24, 28, 72, 75 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 24, 28, 72, 75 quickly. Get the easiest ways to solve the greatest common divisor of 24, 28, 72, 75 i.e 1 in different methods as follows.
Given Input numbers are 24, 28, 72, 75
In the factoring method, we have to find the divisors of all numbers
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 28 :
The positive integer divisors of 28 that completely divides 28 are.
1, 2, 4, 7, 14, 28
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 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (24, 28, 72, 75) = 1.
Given numbers are 24, 28, 72, 75
The list of prime factors of all numbers are
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 28 are 2 x 2 x 7
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 75 are 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 24, 28, 72, 75 using LCM Formula
Given numbers are 24, 28, 72, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(24, 28) = 168
GCD(24, 28) = ( 24 x 28 ) / 168
= 24 / 28
= 24
Step2:
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
= 4 / 72
= 4
Step3:
LCM(4, 75) = 300
GCD(4, 75) = ( 4 x 75 ) / 300
= 4 / 75
= 4
So, Greatest Common Divisor of 24, 28, 72, 75 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 24, 28, 72, 75
Given numbers are 24, 28, 72, 75
The greatest common divisor of numbers 24, 28, 72, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 24, 28, 72, 75 is 1.
FAQs on GCD of 24, 28, 72, 75 Calculator
1. What is the GCD of 24, 28, 72, 75?
GCD of given numbers 24, 28, 72, 75 is 1
2. How to calculate the greatest common divisor of 24, 28, 72, 75?
We can find the highest common divisor of 24, 28, 72, 75 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 24, 28, 72, 75 i.e 1.
3. How can I use the GCD of 24, 28, 72, 75Calculator?
Out the numbers 24, 28, 72, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.