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GCD of 421, 958, 198, 809 Calculator

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


Online GCD Calculator is useful to find the GCD of 421, 958, 198, 809 quickly. Get the easiest ways to solve the greatest common divisor of 421, 958, 198, 809 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 421, 958, 198, 809 with Factoring?

Given Input numbers are 421, 958, 198, 809

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

Divisors of 421 :

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

1, 421

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

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 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809


GCD of numbers is the greatest common divisor

So, the GCD (421, 958, 198, 809) = 1.

Find GCD of 421, 958, 198, 809 using Prime Factorization

Given numbers are 421, 958, 198, 809

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 958 are 2 x 479

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

Prime factors of 809 are 809

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

Steps to Calculate GCD of 421, 958, 198, 809 using LCM Formula

Given numbers are 421, 958, 198, 809

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

Apply this formula for all numbers.

Step1:

LCM(421, 958) = 403318

GCD(421, 958) = ( 421 x 958 ) / 403318

= 421 / 958

= 421


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

= 1 / 809

= 1


So, Greatest Common Divisor of 421, 958, 198, 809 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 421, 958, 198, 809

Given numbers are 421, 958, 198, 809
The greatest common divisor of numbers 421, 958, 198, 809 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 958, 198, 809 is 1.

FAQs on GCD of 421, 958, 198, 809 Calculator

1. What is the GCD of 421, 958, 198, 809?

GCD of given numbers 421, 958, 198, 809 is 1


2. How to calculate the greatest common divisor of 421, 958, 198, 809?

We can find the highest common divisor of 421, 958, 198, 809 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 421, 958, 198, 809 i.e 1.


3. How can I use the GCD of 421, 958, 198, 809Calculator?

Out the numbers 421, 958, 198, 809 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.