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GCD of 380, 441, 83, 829 Calculator

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


Online GCD Calculator is useful to find the GCD of 380, 441, 83, 829 quickly. Get the easiest ways to solve the greatest common divisor of 380, 441, 83, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 441, 83, 829 with Factoring?

Given Input numbers are 380, 441, 83, 829

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 83 :

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

1, 83

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (380, 441, 83, 829) = 1.

Find GCD of 380, 441, 83, 829 using Prime Factorization

Given numbers are 380, 441, 83, 829

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 83 are 83

Prime factors of 829 are 829

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

Steps to Calculate GCD of 380, 441, 83, 829 using LCM Formula

Given numbers are 380, 441, 83, 829

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

Apply this formula for all numbers.

Step1:

LCM(380, 441) = 167580

GCD(380, 441) = ( 380 x 441 ) / 167580

= 380 / 441

= 380


Step2:

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

= 1 / 83

= 1


Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1


So, Greatest Common Divisor of 380, 441, 83, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 441, 83, 829

Given numbers are 380, 441, 83, 829
The greatest common divisor of numbers 380, 441, 83, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 441, 83, 829 is 1.

FAQs on GCD of 380, 441, 83, 829 Calculator

1. What is the GCD of 380, 441, 83, 829?

GCD of given numbers 380, 441, 83, 829 is 1


2. How to calculate the greatest common divisor of 380, 441, 83, 829?

We can find the highest common divisor of 380, 441, 83, 829 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 380, 441, 83, 829 i.e 1.


3. How can I use the GCD of 380, 441, 83, 829Calculator?

Out the numbers 380, 441, 83, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.