LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 42, 67, 48, 54 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 42, 67, 48, 54 quickly. Get the easiest ways to solve the greatest common divisor of 42, 67, 48, 54 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 42, 67, 48, 54 with Factoring?

Given Input numbers are 42, 67, 48, 54

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 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54


GCD of numbers is the greatest common divisor

So, the GCD (42, 67, 48, 54) = 1.

Find GCD of 42, 67, 48, 54 using Prime Factorization

Given numbers are 42, 67, 48, 54

The list of prime factors of all numbers are

Prime factors of 42 are 2 x 3 x 7

Prime factors of 67 are 67

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 54 are 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 42, 67, 48, 54 using LCM Formula

Given numbers are 42, 67, 48, 54

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(42, 67) = 2814

GCD(42, 67) = ( 42 x 67 ) / 2814

= 42 / 67

= 42


Step2:

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

= 1 / 48

= 1


Step3:

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

= 1 / 54

= 1


So, Greatest Common Divisor of 42, 67, 48, 54 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 42, 67, 48, 54

Given numbers are 42, 67, 48, 54
The greatest common divisor of numbers 42, 67, 48, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 42, 67, 48, 54 is 1.

FAQs on GCD of 42, 67, 48, 54 Calculator

1. What is the GCD of 42, 67, 48, 54?

GCD of given numbers 42, 67, 48, 54 is 1


2. How to calculate the greatest common divisor of 42, 67, 48, 54?

We can find the highest common divisor of 42, 67, 48, 54 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, 67, 48, 54 i.e 1.


3. How can I use the GCD of 42, 67, 48, 54Calculator?

Out the numbers 42, 67, 48, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.