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GCD of 361, 703, 399 Calculator

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


Online GCD Calculator is useful to find the GCD of 361, 703, 399 quickly. Get the easiest ways to solve the greatest common divisor of 361, 703, 399 i.e 19 in different methods as follows.

GCD of

How to Find GCD of Numbers 361, 703, 399 with Factoring?

Given Input numbers are 361, 703, 399

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399


GCD of numbers is the greatest common divisor

So, the GCD (361, 703, 399) = 19.

Find GCD of 361, 703, 399 using Prime Factorization

Given numbers are 361, 703, 399

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 703 are 19 x 37

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 191

Therefore, GCD of 361, 703, 399 is 19.

Steps to Calculate GCD of 361, 703, 399 using LCM Formula

Given numbers are 361, 703, 399

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

Apply this formula for all numbers.

Step1:

LCM(361, 703) = 13357

GCD(361, 703) = ( 361 x 703 ) / 13357

= 361 / 703

= 361


Step2:

LCM(19, 399) = 399

GCD(19, 399) = ( 19 x 399 ) / 399

= 19 / 399

= 19


So, Greatest Common Divisor of 361, 703, 399 is 19

GCD of Numbers Calculation Examples

Greatest Common Divisor of 361, 703, 399

Given numbers are 361, 703, 399
The greatest common divisor of numbers 361, 703, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 703, 399 is 19.

FAQs on GCD of 361, 703, 399 Calculator

1. What is the GCD of 361, 703, 399?

GCD of given numbers 361, 703, 399 is 19


2. How to calculate the greatest common divisor of 361, 703, 399?

We can find the highest common divisor of 361, 703, 399 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 361, 703, 399 i.e 19.


3. How can I use the GCD of 361, 703, 399Calculator?

Out the numbers 361, 703, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.