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GCD of 198, 795, 134, 342 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, 795, 134, 342 quickly. Get the easiest ways to solve the greatest common divisor of 198, 795, 134, 342 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 795, 134, 342 with Factoring?

Given Input numbers are 198, 795, 134, 342

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 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342


GCD of numbers is the greatest common divisor

So, the GCD (198, 795, 134, 342) = 1.

Find GCD of 198, 795, 134, 342 using Prime Factorization

Given numbers are 198, 795, 134, 342

The list of prime factors of all numbers are

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

Prime factors of 795 are 3 x 5 x 53

Prime factors of 134 are 2 x 67

Prime factors of 342 are 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 198, 795, 134, 342 using LCM Formula

Given numbers are 198, 795, 134, 342

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

Apply this formula for all numbers.

Step1:

LCM(198, 795) = 52470

GCD(198, 795) = ( 198 x 795 ) / 52470

= 198 / 795

= 198


Step2:

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

= 3 / 134

= 3


Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1


So, Greatest Common Divisor of 198, 795, 134, 342 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 795, 134, 342

Given numbers are 198, 795, 134, 342
The greatest common divisor of numbers 198, 795, 134, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 795, 134, 342 is 1.

FAQs on GCD of 198, 795, 134, 342 Calculator

1. What is the GCD of 198, 795, 134, 342?

GCD of given numbers 198, 795, 134, 342 is 1


2. How to calculate the greatest common divisor of 198, 795, 134, 342?

We can find the highest common divisor of 198, 795, 134, 342 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, 795, 134, 342 i.e 1.


3. How can I use the GCD of 198, 795, 134, 342Calculator?

Out the numbers 198, 795, 134, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.