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GCD of 196, 420, 83, 199 Calculator

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


Online GCD Calculator is useful to find the GCD of 196, 420, 83, 199 quickly. Get the easiest ways to solve the greatest common divisor of 196, 420, 83, 199 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 420, 83, 199 with Factoring?

Given Input numbers are 196, 420, 83, 199

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

Divisors of 199 :

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

1, 199


GCD of numbers is the greatest common divisor

So, the GCD (196, 420, 83, 199) = 1.

Find GCD of 196, 420, 83, 199 using Prime Factorization

Given numbers are 196, 420, 83, 199

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 83 are 83

Prime factors of 199 are 199

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

Steps to Calculate GCD of 196, 420, 83, 199 using LCM Formula

Given numbers are 196, 420, 83, 199

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

Apply this formula for all numbers.

Step1:

LCM(196, 420) = 2940

GCD(196, 420) = ( 196 x 420 ) / 2940

= 196 / 420

= 196


Step2:

LCM(28, 83) = 2324

GCD(28, 83) = ( 28 x 83 ) / 2324

= 28 / 83

= 28


Step3:

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

= 1 / 199

= 1


So, Greatest Common Divisor of 196, 420, 83, 199 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 420, 83, 199

Given numbers are 196, 420, 83, 199
The greatest common divisor of numbers 196, 420, 83, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 420, 83, 199 is 1.

FAQs on GCD of 196, 420, 83, 199 Calculator

1. What is the GCD of 196, 420, 83, 199?

GCD of given numbers 196, 420, 83, 199 is 1


2. How to calculate the greatest common divisor of 196, 420, 83, 199?

We can find the highest common divisor of 196, 420, 83, 199 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 196, 420, 83, 199 i.e 1.


3. How can I use the GCD of 196, 420, 83, 199Calculator?

Out the numbers 196, 420, 83, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.