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GCD of 198, 747, 104, 273 Calculator

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


Online GCD Calculator is useful to find the GCD of 198, 747, 104, 273 quickly. Get the easiest ways to solve the greatest common divisor of 198, 747, 104, 273 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 747, 104, 273 with Factoring?

Given Input numbers are 198, 747, 104, 273

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

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273


GCD of numbers is the greatest common divisor

So, the GCD (198, 747, 104, 273) = 1.

Find GCD of 198, 747, 104, 273 using Prime Factorization

Given numbers are 198, 747, 104, 273

The list of prime factors of all numbers are

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

Prime factors of 747 are 3 x 3 x 83

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 273 are 3 x 7 x 13

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

Steps to Calculate GCD of 198, 747, 104, 273 using LCM Formula

Given numbers are 198, 747, 104, 273

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

Apply this formula for all numbers.

Step1:

LCM(198, 747) = 16434

GCD(198, 747) = ( 198 x 747 ) / 16434

= 198 / 747

= 198


Step2:

LCM(9, 104) = 936

GCD(9, 104) = ( 9 x 104 ) / 936

= 9 / 104

= 9


Step3:

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

= 1 / 273

= 1


So, Greatest Common Divisor of 198, 747, 104, 273 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 747, 104, 273

Given numbers are 198, 747, 104, 273
The greatest common divisor of numbers 198, 747, 104, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 747, 104, 273 is 1.

FAQs on GCD of 198, 747, 104, 273 Calculator

1. What is the GCD of 198, 747, 104, 273?

GCD of given numbers 198, 747, 104, 273 is 1


2. How to calculate the greatest common divisor of 198, 747, 104, 273?

We can find the highest common divisor of 198, 747, 104, 273 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 198, 747, 104, 273 i.e 1.


3. How can I use the GCD of 198, 747, 104, 273Calculator?

Out the numbers 198, 747, 104, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.