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GCD of 151, 523, 198, 729 Calculator

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


Online GCD Calculator is useful to find the GCD of 151, 523, 198, 729 quickly. Get the easiest ways to solve the greatest common divisor of 151, 523, 198, 729 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 151, 523, 198, 729 with Factoring?

Given Input numbers are 151, 523, 198, 729

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

Divisors of 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729


GCD of numbers is the greatest common divisor

So, the GCD (151, 523, 198, 729) = 1.

Find GCD of 151, 523, 198, 729 using Prime Factorization

Given numbers are 151, 523, 198, 729

The list of prime factors of all numbers are

Prime factors of 151 are 151

Prime factors of 523 are 523

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 729 are 3 x 3 x 3 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 151, 523, 198, 729 using LCM Formula

Given numbers are 151, 523, 198, 729

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

Apply this formula for all numbers.

Step1:

LCM(151, 523) = 78973

GCD(151, 523) = ( 151 x 523 ) / 78973

= 151 / 523

= 151


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1


So, Greatest Common Divisor of 151, 523, 198, 729 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 151, 523, 198, 729

Given numbers are 151, 523, 198, 729
The greatest common divisor of numbers 151, 523, 198, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 151, 523, 198, 729 is 1.

FAQs on GCD of 151, 523, 198, 729 Calculator

1. What is the GCD of 151, 523, 198, 729?

GCD of given numbers 151, 523, 198, 729 is 1


2. How to calculate the greatest common divisor of 151, 523, 198, 729?

We can find the highest common divisor of 151, 523, 198, 729 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 151, 523, 198, 729 i.e 1.


3. How can I use the GCD of 151, 523, 198, 729Calculator?

Out the numbers 151, 523, 198, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.