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GCD of 86, 54, 53, 60 Calculator

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


Online GCD Calculator is useful to find the GCD of 86, 54, 53, 60 quickly. Get the easiest ways to solve the greatest common divisor of 86, 54, 53, 60 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 86, 54, 53, 60 with Factoring?

Given Input numbers are 86, 54, 53, 60

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

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

Divisors of 54 :

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

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

Divisors of 53 :

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

1, 53

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60


GCD of numbers is the greatest common divisor

So, the GCD (86, 54, 53, 60) = 1.

Find GCD of 86, 54, 53, 60 using Prime Factorization

Given numbers are 86, 54, 53, 60

The list of prime factors of all numbers are

Prime factors of 86 are 2 x 43

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

Prime factors of 53 are 53

Prime factors of 60 are 2 x 2 x 3 x 5

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

Steps to Calculate GCD of 86, 54, 53, 60 using LCM Formula

Given numbers are 86, 54, 53, 60

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

Apply this formula for all numbers.

Step1:

LCM(86, 54) = 2322

GCD(86, 54) = ( 86 x 54 ) / 2322

= 86 / 54

= 86


Step2:

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

= 2 / 53

= 2


Step3:

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

= 1 / 60

= 1


So, Greatest Common Divisor of 86, 54, 53, 60 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 86, 54, 53, 60

Given numbers are 86, 54, 53, 60
The greatest common divisor of numbers 86, 54, 53, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 86, 54, 53, 60 is 1.

FAQs on GCD of 86, 54, 53, 60 Calculator

1. What is the GCD of 86, 54, 53, 60?

GCD of given numbers 86, 54, 53, 60 is 1


2. How to calculate the greatest common divisor of 86, 54, 53, 60?

We can find the highest common divisor of 86, 54, 53, 60 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 86, 54, 53, 60 i.e 1.


3. How can I use the GCD of 86, 54, 53, 60Calculator?

Out the numbers 86, 54, 53, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.