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GCD of 13, 48, 58, 23 Calculator

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


Online GCD Calculator is useful to find the GCD of 13, 48, 58, 23 quickly. Get the easiest ways to solve the greatest common divisor of 13, 48, 58, 23 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 13, 48, 58, 23 with Factoring?

Given Input numbers are 13, 48, 58, 23

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

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

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 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23


GCD of numbers is the greatest common divisor

So, the GCD (13, 48, 58, 23) = 1.

Find GCD of 13, 48, 58, 23 using Prime Factorization

Given numbers are 13, 48, 58, 23

The list of prime factors of all numbers are

Prime factors of 13 are 13

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

Prime factors of 58 are 2 x 29

Prime factors of 23 are 23

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

Steps to Calculate GCD of 13, 48, 58, 23 using LCM Formula

Given numbers are 13, 48, 58, 23

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

Apply this formula for all numbers.

Step1:

LCM(13, 48) = 624

GCD(13, 48) = ( 13 x 48 ) / 624

= 13 / 48

= 13


Step2:

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

= 1 / 58

= 1


Step3:

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

= 1 / 23

= 1


So, Greatest Common Divisor of 13, 48, 58, 23 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 13, 48, 58, 23

Given numbers are 13, 48, 58, 23
The greatest common divisor of numbers 13, 48, 58, 23 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 13, 48, 58, 23 is 1.

FAQs on GCD of 13, 48, 58, 23 Calculator

1. What is the GCD of 13, 48, 58, 23?

GCD of given numbers 13, 48, 58, 23 is 1


2. How to calculate the greatest common divisor of 13, 48, 58, 23?

We can find the highest common divisor of 13, 48, 58, 23 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 13, 48, 58, 23 i.e 1.


3. How can I use the GCD of 13, 48, 58, 23Calculator?

Out the numbers 13, 48, 58, 23 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.