GCD of 42, 72, 54, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 42, 72, 54, 48 quickly. Get the easiest ways to solve the greatest common divisor of 42, 72, 54, 48 i.e 6 in different methods as follows.
Given Input numbers are 42, 72, 54, 48
In the factoring method, we have to find the divisors of all numbers
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
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 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
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 (42, 72, 54, 48) = 6.
Given numbers are 42, 72, 54, 48
The list of prime factors of all numbers are
Prime factors of 42 are 2 x 3 x 7
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 42, 72, 54, 48 is 6.
Steps to Calculate GCD of 42, 72, 54, 48 using LCM Formula
Given numbers are 42, 72, 54, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(42, 72) = 504
GCD(42, 72) = ( 42 x 72 ) / 504
= 42 / 72
= 42
Step2:
LCM(6, 54) = 54
GCD(6, 54) = ( 6 x 54 ) / 54
= 6 / 54
= 6
Step3:
LCM(6, 48) = 48
GCD(6, 48) = ( 6 x 48 ) / 48
= 6 / 48
= 6
So, Greatest Common Divisor of 42, 72, 54, 48 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 42, 72, 54, 48
Given numbers are 42, 72, 54, 48
The greatest common divisor of numbers 42, 72, 54, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 42, 72, 54, 48 is 6.
FAQs on GCD of 42, 72, 54, 48 Calculator
1. What is the GCD of 42, 72, 54, 48?
GCD of given numbers 42, 72, 54, 48 is 6
2. How to calculate the greatest common divisor of 42, 72, 54, 48?
We can find the highest common divisor of 42, 72, 54, 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 42, 72, 54, 48 i.e 6.
3. How can I use the GCD of 42, 72, 54, 48Calculator?
Out the numbers 42, 72, 54, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.