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GCD of 198, 468, 276, 703 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, 468, 276, 703 quickly. Get the easiest ways to solve the greatest common divisor of 198, 468, 276, 703 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 468, 276, 703 with Factoring?

Given Input numbers are 198, 468, 276, 703

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703


GCD of numbers is the greatest common divisor

So, the GCD (198, 468, 276, 703) = 1.

Find GCD of 198, 468, 276, 703 using Prime Factorization

Given numbers are 198, 468, 276, 703

The list of prime factors of all numbers are

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 703 are 19 x 37

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

Steps to Calculate GCD of 198, 468, 276, 703 using LCM Formula

Given numbers are 198, 468, 276, 703

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

Apply this formula for all numbers.

Step1:

LCM(198, 468) = 5148

GCD(198, 468) = ( 198 x 468 ) / 5148

= 198 / 468

= 198


Step2:

LCM(18, 276) = 828

GCD(18, 276) = ( 18 x 276 ) / 828

= 18 / 276

= 18


Step3:

LCM(6, 703) = 4218

GCD(6, 703) = ( 6 x 703 ) / 4218

= 6 / 703

= 6


So, Greatest Common Divisor of 198, 468, 276, 703 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 468, 276, 703

Given numbers are 198, 468, 276, 703
The greatest common divisor of numbers 198, 468, 276, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 468, 276, 703 is 1.

FAQs on GCD of 198, 468, 276, 703 Calculator

1. What is the GCD of 198, 468, 276, 703?

GCD of given numbers 198, 468, 276, 703 is 1


2. How to calculate the greatest common divisor of 198, 468, 276, 703?

We can find the highest common divisor of 198, 468, 276, 703 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, 468, 276, 703 i.e 1.


3. How can I use the GCD of 198, 468, 276, 703Calculator?

Out the numbers 198, 468, 276, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.