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GCD of 396, 313, 213, 574 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, 313, 213, 574 quickly. Get the easiest ways to solve the greatest common divisor of 396, 313, 213, 574 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 313, 213, 574 with Factoring?

Given Input numbers are 396, 313, 213, 574

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574


GCD of numbers is the greatest common divisor

So, the GCD (396, 313, 213, 574) = 1.

Find GCD of 396, 313, 213, 574 using Prime Factorization

Given numbers are 396, 313, 213, 574

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 313 are 313

Prime factors of 213 are 3 x 71

Prime factors of 574 are 2 x 7 x 41

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

Steps to Calculate GCD of 396, 313, 213, 574 using LCM Formula

Given numbers are 396, 313, 213, 574

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

Apply this formula for all numbers.

Step1:

LCM(396, 313) = 123948

GCD(396, 313) = ( 396 x 313 ) / 123948

= 396 / 313

= 396


Step2:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1


Step3:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1


So, Greatest Common Divisor of 396, 313, 213, 574 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 313, 213, 574

Given numbers are 396, 313, 213, 574
The greatest common divisor of numbers 396, 313, 213, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 313, 213, 574 is 1.

FAQs on GCD of 396, 313, 213, 574 Calculator

1. What is the GCD of 396, 313, 213, 574?

GCD of given numbers 396, 313, 213, 574 is 1


2. How to calculate the greatest common divisor of 396, 313, 213, 574?

We can find the highest common divisor of 396, 313, 213, 574 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, 313, 213, 574 i.e 1.


3. How can I use the GCD of 396, 313, 213, 574Calculator?

Out the numbers 396, 313, 213, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.