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GCD of 106, 133, 53 Calculator

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


Online GCD Calculator is useful to find the GCD of 106, 133, 53 quickly. Get the easiest ways to solve the greatest common divisor of 106, 133, 53 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 106, 133, 53 with Factoring?

Given Input numbers are 106, 133, 53

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 53 :

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

1, 53


GCD of numbers is the greatest common divisor

So, the GCD (106, 133, 53) = 1.

Find GCD of 106, 133, 53 using Prime Factorization

Given numbers are 106, 133, 53

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 133 are 7 x 19

Prime factors of 53 are 53

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

Steps to Calculate GCD of 106, 133, 53 using LCM Formula

Given numbers are 106, 133, 53

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

Apply this formula for all numbers.

Step1:

LCM(106, 133) = 14098

GCD(106, 133) = ( 106 x 133 ) / 14098

= 106 / 133

= 106


Step2:

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

= 1 / 53

= 1


So, Greatest Common Divisor of 106, 133, 53 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 106, 133, 53

Given numbers are 106, 133, 53
The greatest common divisor of numbers 106, 133, 53 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 133, 53 is 1.

FAQs on GCD of 106, 133, 53 Calculator

1. What is the GCD of 106, 133, 53?

GCD of given numbers 106, 133, 53 is 1


2. How to calculate the greatest common divisor of 106, 133, 53?

We can find the highest common divisor of 106, 133, 53 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 106, 133, 53 i.e 1.


3. How can I use the GCD of 106, 133, 53Calculator?

Out the numbers 106, 133, 53 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.