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GCD of 380, 330, 705, 379 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, 330, 705, 379 quickly. Get the easiest ways to solve the greatest common divisor of 380, 330, 705, 379 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 330, 705, 379 with Factoring?

Given Input numbers are 380, 330, 705, 379

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379


GCD of numbers is the greatest common divisor

So, the GCD (380, 330, 705, 379) = 1.

Find GCD of 380, 330, 705, 379 using Prime Factorization

Given numbers are 380, 330, 705, 379

The list of prime factors of all numbers are

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

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 705 are 3 x 5 x 47

Prime factors of 379 are 379

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

Steps to Calculate GCD of 380, 330, 705, 379 using LCM Formula

Given numbers are 380, 330, 705, 379

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

Apply this formula for all numbers.

Step1:

LCM(380, 330) = 12540

GCD(380, 330) = ( 380 x 330 ) / 12540

= 380 / 330

= 380


Step2:

LCM(10, 705) = 1410

GCD(10, 705) = ( 10 x 705 ) / 1410

= 10 / 705

= 10


Step3:

LCM(5, 379) = 1895

GCD(5, 379) = ( 5 x 379 ) / 1895

= 5 / 379

= 5


So, Greatest Common Divisor of 380, 330, 705, 379 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 330, 705, 379

Given numbers are 380, 330, 705, 379
The greatest common divisor of numbers 380, 330, 705, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 330, 705, 379 is 1.

FAQs on GCD of 380, 330, 705, 379 Calculator

1. What is the GCD of 380, 330, 705, 379?

GCD of given numbers 380, 330, 705, 379 is 1


2. How to calculate the greatest common divisor of 380, 330, 705, 379?

We can find the highest common divisor of 380, 330, 705, 379 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, 330, 705, 379 i.e 1.


3. How can I use the GCD of 380, 330, 705, 379Calculator?

Out the numbers 380, 330, 705, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.