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GCD of 54, 3, 83, 97 Calculator

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


Online GCD Calculator is useful to find the GCD of 54, 3, 83, 97 quickly. Get the easiest ways to solve the greatest common divisor of 54, 3, 83, 97 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 54, 3, 83, 97 with Factoring?

Given Input numbers are 54, 3, 83, 97

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 3 :

The positive integer divisors of 3 that completely divides 3 are.

1, 3

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

Divisors of 97 :

The positive integer divisors of 97 that completely divides 97 are.

1, 97


GCD of numbers is the greatest common divisor

So, the GCD (54, 3, 83, 97) = 1.

Find GCD of 54, 3, 83, 97 using Prime Factorization

Given numbers are 54, 3, 83, 97

The list of prime factors of all numbers are

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

Prime factors of 3 are 3

Prime factors of 83 are 83

Prime factors of 97 are 97

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

Steps to Calculate GCD of 54, 3, 83, 97 using LCM Formula

Given numbers are 54, 3, 83, 97

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

Apply this formula for all numbers.

Step1:

LCM(54, 3) = 54

GCD(54, 3) = ( 54 x 3 ) / 54

= 54 / 3

= 54


Step2:

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

= 3 / 83

= 3


Step3:

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

= 1 / 97

= 1


So, Greatest Common Divisor of 54, 3, 83, 97 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 54, 3, 83, 97

Given numbers are 54, 3, 83, 97
The greatest common divisor of numbers 54, 3, 83, 97 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 54, 3, 83, 97 is 1.

FAQs on GCD of 54, 3, 83, 97 Calculator

1. What is the GCD of 54, 3, 83, 97?

GCD of given numbers 54, 3, 83, 97 is 1


2. How to calculate the greatest common divisor of 54, 3, 83, 97?

We can find the highest common divisor of 54, 3, 83, 97 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, 3, 83, 97 i.e 1.


3. How can I use the GCD of 54, 3, 83, 97Calculator?

Out the numbers 54, 3, 83, 97 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.