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GCD of 396, 212, 299, 407 Calculator

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


Online GCD Calculator is useful to find the GCD of 396, 212, 299, 407 quickly. Get the easiest ways to solve the greatest common divisor of 396, 212, 299, 407 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 212, 299, 407 with Factoring?

Given Input numbers are 396, 212, 299, 407

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

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407


GCD of numbers is the greatest common divisor

So, the GCD (396, 212, 299, 407) = 1.

Find GCD of 396, 212, 299, 407 using Prime Factorization

Given numbers are 396, 212, 299, 407

The list of prime factors of all numbers are

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

Prime factors of 212 are 2 x 2 x 53

Prime factors of 299 are 13 x 23

Prime factors of 407 are 11 x 37

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

Steps to Calculate GCD of 396, 212, 299, 407 using LCM Formula

Given numbers are 396, 212, 299, 407

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

Apply this formula for all numbers.

Step1:

LCM(396, 212) = 20988

GCD(396, 212) = ( 396 x 212 ) / 20988

= 396 / 212

= 396


Step2:

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

= 4 / 299

= 4


Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1


So, Greatest Common Divisor of 396, 212, 299, 407 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 212, 299, 407

Given numbers are 396, 212, 299, 407
The greatest common divisor of numbers 396, 212, 299, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 212, 299, 407 is 1.

FAQs on GCD of 396, 212, 299, 407 Calculator

1. What is the GCD of 396, 212, 299, 407?

GCD of given numbers 396, 212, 299, 407 is 1


2. How to calculate the greatest common divisor of 396, 212, 299, 407?

We can find the highest common divisor of 396, 212, 299, 407 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 396, 212, 299, 407 i.e 1.


3. How can I use the GCD of 396, 212, 299, 407Calculator?

Out the numbers 396, 212, 299, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.