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GCD of 993, 396, 409, 434 Calculator

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


Online GCD Calculator is useful to find the GCD of 993, 396, 409, 434 quickly. Get the easiest ways to solve the greatest common divisor of 993, 396, 409, 434 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 993, 396, 409, 434 with Factoring?

Given Input numbers are 993, 396, 409, 434

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434


GCD of numbers is the greatest common divisor

So, the GCD (993, 396, 409, 434) = 1.

Find GCD of 993, 396, 409, 434 using Prime Factorization

Given numbers are 993, 396, 409, 434

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 409 are 409

Prime factors of 434 are 2 x 7 x 31

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

Steps to Calculate GCD of 993, 396, 409, 434 using LCM Formula

Given numbers are 993, 396, 409, 434

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

Apply this formula for all numbers.

Step1:

LCM(993, 396) = 131076

GCD(993, 396) = ( 993 x 396 ) / 131076

= 993 / 396

= 993


Step2:

LCM(3, 409) = 1227

GCD(3, 409) = ( 3 x 409 ) / 1227

= 3 / 409

= 3


Step3:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1


So, Greatest Common Divisor of 993, 396, 409, 434 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 993, 396, 409, 434

Given numbers are 993, 396, 409, 434
The greatest common divisor of numbers 993, 396, 409, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 396, 409, 434 is 1.

FAQs on GCD of 993, 396, 409, 434 Calculator

1. What is the GCD of 993, 396, 409, 434?

GCD of given numbers 993, 396, 409, 434 is 1


2. How to calculate the greatest common divisor of 993, 396, 409, 434?

We can find the highest common divisor of 993, 396, 409, 434 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 993, 396, 409, 434 i.e 1.


3. How can I use the GCD of 993, 396, 409, 434Calculator?

Out the numbers 993, 396, 409, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.