GCD of 54, 78, 21, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 54, 78, 21, 48 quickly. Get the easiest ways to solve the greatest common divisor of 54, 78, 21, 48 i.e 3 in different methods as follows.
Given Input numbers are 54, 78, 21, 48
In the factoring method, we have to find the divisors of all numbers
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
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 (54, 78, 21, 48) = 3.
Given numbers are 54, 78, 21, 48
The list of prime factors of all numbers are
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 78 are 2 x 3 x 13
Prime factors of 21 are 3 x 7
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 54, 78, 21, 48 is 3.
Steps to Calculate GCD of 54, 78, 21, 48 using LCM Formula
Given numbers are 54, 78, 21, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(54, 78) = 702
GCD(54, 78) = ( 54 x 78 ) / 702
= 54 / 78
= 54
Step2:
LCM(6, 21) = 42
GCD(6, 21) = ( 6 x 21 ) / 42
= 6 / 21
= 6
Step3:
LCM(3, 48) = 48
GCD(3, 48) = ( 3 x 48 ) / 48
= 3 / 48
= 3
So, Greatest Common Divisor of 54, 78, 21, 48 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 54, 78, 21, 48
Given numbers are 54, 78, 21, 48
The greatest common divisor of numbers 54, 78, 21, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 54, 78, 21, 48 is 3.
FAQs on GCD of 54, 78, 21, 48 Calculator
1. What is the GCD of 54, 78, 21, 48?
GCD of given numbers 54, 78, 21, 48 is 3
2. How to calculate the greatest common divisor of 54, 78, 21, 48?
We can find the highest common divisor of 54, 78, 21, 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 54, 78, 21, 48 i.e 3.
3. How can I use the GCD of 54, 78, 21, 48Calculator?
Out the numbers 54, 78, 21, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.