GCD of 33, 75, 90, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 33, 75, 90, 48 quickly. Get the easiest ways to solve the greatest common divisor of 33, 75, 90, 48 i.e 3 in different methods as follows.
Given Input numbers are 33, 75, 90, 48
In the factoring method, we have to find the divisors of all numbers
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (33, 75, 90, 48) = 3.
Given numbers are 33, 75, 90, 48
The list of prime factors of all numbers are
Prime factors of 33 are 3 x 11
Prime factors of 75 are 3 x 5 x 5
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 33, 75, 90, 48 is 3.
Steps to Calculate GCD of 33, 75, 90, 48 using LCM Formula
Given numbers are 33, 75, 90, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(33, 75) = 825
GCD(33, 75) = ( 33 x 75 ) / 825
= 33 / 75
= 33
Step2:
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
= 3 / 90
= 3
Step3:
LCM(3, 48) = 48
GCD(3, 48) = ( 3 x 48 ) / 48
= 3 / 48
= 3
So, Greatest Common Divisor of 33, 75, 90, 48 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 33, 75, 90, 48
Given numbers are 33, 75, 90, 48
The greatest common divisor of numbers 33, 75, 90, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 33, 75, 90, 48 is 3.
FAQs on GCD of 33, 75, 90, 48 Calculator
1. What is the GCD of 33, 75, 90, 48?
GCD of given numbers 33, 75, 90, 48 is 3
2. How to calculate the greatest common divisor of 33, 75, 90, 48?
We can find the highest common divisor of 33, 75, 90, 48 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 33, 75, 90, 48 i.e 3.
3. How can I use the GCD of 33, 75, 90, 48Calculator?
Out the numbers 33, 75, 90, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.