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GCD of 199, 654, 677, 197 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, 654, 677, 197 quickly. Get the easiest ways to solve the greatest common divisor of 199, 654, 677, 197 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 199, 654, 677, 197 with Factoring?

Given Input numbers are 199, 654, 677, 197

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197


GCD of numbers is the greatest common divisor

So, the GCD (199, 654, 677, 197) = 1.

Find GCD of 199, 654, 677, 197 using Prime Factorization

Given numbers are 199, 654, 677, 197

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 654 are 2 x 3 x 109

Prime factors of 677 are 677

Prime factors of 197 are 197

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

Steps to Calculate GCD of 199, 654, 677, 197 using LCM Formula

Given numbers are 199, 654, 677, 197

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

Apply this formula for all numbers.

Step1:

LCM(199, 654) = 130146

GCD(199, 654) = ( 199 x 654 ) / 130146

= 199 / 654

= 199


Step2:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


Step3:

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

= 1 / 197

= 1


So, Greatest Common Divisor of 199, 654, 677, 197 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 199, 654, 677, 197

Given numbers are 199, 654, 677, 197
The greatest common divisor of numbers 199, 654, 677, 197 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 654, 677, 197 is 1.

FAQs on GCD of 199, 654, 677, 197 Calculator

1. What is the GCD of 199, 654, 677, 197?

GCD of given numbers 199, 654, 677, 197 is 1


2. How to calculate the greatest common divisor of 199, 654, 677, 197?

We can find the highest common divisor of 199, 654, 677, 197 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, 654, 677, 197 i.e 1.


3. How can I use the GCD of 199, 654, 677, 197Calculator?

Out the numbers 199, 654, 677, 197 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.