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GCD of 53, 14, 92, 48 Calculator

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


Online GCD Calculator is useful to find the GCD of 53, 14, 92, 48 quickly. Get the easiest ways to solve the greatest common divisor of 53, 14, 92, 48 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 53, 14, 92, 48 with Factoring?

Given Input numbers are 53, 14, 92, 48

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

Divisors of 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

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 (53, 14, 92, 48) = 1.

Find GCD of 53, 14, 92, 48 using Prime Factorization

Given numbers are 53, 14, 92, 48

The list of prime factors of all numbers are

Prime factors of 53 are 53

Prime factors of 14 are 2 x 7

Prime factors of 92 are 2 x 2 x 23

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

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

Steps to Calculate GCD of 53, 14, 92, 48 using LCM Formula

Given numbers are 53, 14, 92, 48

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

Apply this formula for all numbers.

Step1:

LCM(53, 14) = 742

GCD(53, 14) = ( 53 x 14 ) / 742

= 53 / 14

= 53


Step2:

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

= 1 / 92

= 1


Step3:

LCM(1, 48) = 48

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

= 1 / 48

= 1


So, Greatest Common Divisor of 53, 14, 92, 48 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 53, 14, 92, 48

Given numbers are 53, 14, 92, 48
The greatest common divisor of numbers 53, 14, 92, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 53, 14, 92, 48 is 1.

FAQs on GCD of 53, 14, 92, 48 Calculator

1. What is the GCD of 53, 14, 92, 48?

GCD of given numbers 53, 14, 92, 48 is 1


2. How to calculate the greatest common divisor of 53, 14, 92, 48?

We can find the highest common divisor of 53, 14, 92, 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 53, 14, 92, 48 i.e 1.


3. How can I use the GCD of 53, 14, 92, 48Calculator?

Out the numbers 53, 14, 92, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.