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GCD of 198, 908, 421, 734 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, 908, 421, 734 quickly. Get the easiest ways to solve the greatest common divisor of 198, 908, 421, 734 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 908, 421, 734 with Factoring?

Given Input numbers are 198, 908, 421, 734

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734


GCD of numbers is the greatest common divisor

So, the GCD (198, 908, 421, 734) = 1.

Find GCD of 198, 908, 421, 734 using Prime Factorization

Given numbers are 198, 908, 421, 734

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 421 are 421

Prime factors of 734 are 2 x 367

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

Steps to Calculate GCD of 198, 908, 421, 734 using LCM Formula

Given numbers are 198, 908, 421, 734

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

Apply this formula for all numbers.

Step1:

LCM(198, 908) = 89892

GCD(198, 908) = ( 198 x 908 ) / 89892

= 198 / 908

= 198


Step2:

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

= 2 / 421

= 2


Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1


So, Greatest Common Divisor of 198, 908, 421, 734 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 908, 421, 734

Given numbers are 198, 908, 421, 734
The greatest common divisor of numbers 198, 908, 421, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 908, 421, 734 is 1.

FAQs on GCD of 198, 908, 421, 734 Calculator

1. What is the GCD of 198, 908, 421, 734?

GCD of given numbers 198, 908, 421, 734 is 1


2. How to calculate the greatest common divisor of 198, 908, 421, 734?

We can find the highest common divisor of 198, 908, 421, 734 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, 908, 421, 734 i.e 1.


3. How can I use the GCD of 198, 908, 421, 734Calculator?

Out the numbers 198, 908, 421, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.