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GCD of 31, 73, 52, 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 31, 73, 52, 54 quickly. Get the easiest ways to solve the greatest common divisor of 31, 73, 52, 54 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 31, 73, 52, 54 with Factoring?

Given Input numbers are 31, 73, 52, 54

In the factoring method, we have to find the divisors of all numbers

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 73 :

The positive integer divisors of 73 that completely divides 73 are.

1, 73

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

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 (31, 73, 52, 54) = 1.

Find GCD of 31, 73, 52, 54 using Prime Factorization

Given numbers are 31, 73, 52, 54

The list of prime factors of all numbers are

Prime factors of 31 are 31

Prime factors of 73 are 73

Prime factors of 52 are 2 x 2 x 13

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 31, 73, 52, 54 using LCM Formula

Given numbers are 31, 73, 52, 54

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

Apply this formula for all numbers.

Step1:

LCM(31, 73) = 2263

GCD(31, 73) = ( 31 x 73 ) / 2263

= 31 / 73

= 31


Step2:

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

= 1 / 52

= 1


Step3:

LCM(1, 54) = 54

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

= 1 / 54

= 1


So, Greatest Common Divisor of 31, 73, 52, 54 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 31, 73, 52, 54

Given numbers are 31, 73, 52, 54
The greatest common divisor of numbers 31, 73, 52, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 31, 73, 52, 54 is 1.

FAQs on GCD of 31, 73, 52, 54 Calculator

1. What is the GCD of 31, 73, 52, 54?

GCD of given numbers 31, 73, 52, 54 is 1


2. How to calculate the greatest common divisor of 31, 73, 52, 54?

We can find the highest common divisor of 31, 73, 52, 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 31, 73, 52, 54 i.e 1.


3. How can I use the GCD of 31, 73, 52, 54Calculator?

Out the numbers 31, 73, 52, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.