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GCD of 199, 676, 855, 354 Calculator

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


Online GCD Calculator is useful to find the GCD of 199, 676, 855, 354 quickly. Get the easiest ways to solve the greatest common divisor of 199, 676, 855, 354 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 199, 676, 855, 354 with Factoring?

Given Input numbers are 199, 676, 855, 354

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354


GCD of numbers is the greatest common divisor

So, the GCD (199, 676, 855, 354) = 1.

Find GCD of 199, 676, 855, 354 using Prime Factorization

Given numbers are 199, 676, 855, 354

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 354 are 2 x 3 x 59

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

Steps to Calculate GCD of 199, 676, 855, 354 using LCM Formula

Given numbers are 199, 676, 855, 354

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

Apply this formula for all numbers.

Step1:

LCM(199, 676) = 134524

GCD(199, 676) = ( 199 x 676 ) / 134524

= 199 / 676

= 199


Step2:

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

= 1 / 855

= 1


Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1


So, Greatest Common Divisor of 199, 676, 855, 354 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 199, 676, 855, 354

Given numbers are 199, 676, 855, 354
The greatest common divisor of numbers 199, 676, 855, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 676, 855, 354 is 1.

FAQs on GCD of 199, 676, 855, 354 Calculator

1. What is the GCD of 199, 676, 855, 354?

GCD of given numbers 199, 676, 855, 354 is 1


2. How to calculate the greatest common divisor of 199, 676, 855, 354?

We can find the highest common divisor of 199, 676, 855, 354 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 199, 676, 855, 354 i.e 1.


3. How can I use the GCD of 199, 676, 855, 354Calculator?

Out the numbers 199, 676, 855, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.