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GCD of 399, 402, 83 Calculator

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


Online GCD Calculator is useful to find the GCD of 399, 402, 83 quickly. Get the easiest ways to solve the greatest common divisor of 399, 402, 83 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 399, 402, 83 with Factoring?

Given Input numbers are 399, 402, 83

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

Divisors of 399 :

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

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83


GCD of numbers is the greatest common divisor

So, the GCD (399, 402, 83) = 1.

Find GCD of 399, 402, 83 using Prime Factorization

Given numbers are 399, 402, 83

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 402 are 2 x 3 x 67

Prime factors of 83 are 83

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

Steps to Calculate GCD of 399, 402, 83 using LCM Formula

Given numbers are 399, 402, 83

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

Apply this formula for all numbers.

Step1:

LCM(399, 402) = 53466

GCD(399, 402) = ( 399 x 402 ) / 53466

= 399 / 402

= 399


Step2:

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

= 3 / 83

= 3


So, Greatest Common Divisor of 399, 402, 83 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 399, 402, 83

Given numbers are 399, 402, 83
The greatest common divisor of numbers 399, 402, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 402, 83 is 1.

FAQs on GCD of 399, 402, 83 Calculator

1. What is the GCD of 399, 402, 83?

GCD of given numbers 399, 402, 83 is 1


2. How to calculate the greatest common divisor of 399, 402, 83?

We can find the highest common divisor of 399, 402, 83 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 399, 402, 83 i.e 1.


3. How can I use the GCD of 399, 402, 83Calculator?

Out the numbers 399, 402, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.