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GCD of 380, 191, 414, 676 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, 191, 414, 676 quickly. Get the easiest ways to solve the greatest common divisor of 380, 191, 414, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 191, 414, 676 with Factoring?

Given Input numbers are 380, 191, 414, 676

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 191 :

The positive integer divisors of 191 that completely divides 191 are.

1, 191

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676


GCD of numbers is the greatest common divisor

So, the GCD (380, 191, 414, 676) = 1.

Find GCD of 380, 191, 414, 676 using Prime Factorization

Given numbers are 380, 191, 414, 676

The list of prime factors of all numbers are

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

Prime factors of 191 are 191

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

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

Steps to Calculate GCD of 380, 191, 414, 676 using LCM Formula

Given numbers are 380, 191, 414, 676

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

Apply this formula for all numbers.

Step1:

LCM(380, 191) = 72580

GCD(380, 191) = ( 380 x 191 ) / 72580

= 380 / 191

= 380


Step2:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1


Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


So, Greatest Common Divisor of 380, 191, 414, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 191, 414, 676

Given numbers are 380, 191, 414, 676
The greatest common divisor of numbers 380, 191, 414, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 191, 414, 676 is 1.

FAQs on GCD of 380, 191, 414, 676 Calculator

1. What is the GCD of 380, 191, 414, 676?

GCD of given numbers 380, 191, 414, 676 is 1


2. How to calculate the greatest common divisor of 380, 191, 414, 676?

We can find the highest common divisor of 380, 191, 414, 676 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, 191, 414, 676 i.e 1.


3. How can I use the GCD of 380, 191, 414, 676Calculator?

Out the numbers 380, 191, 414, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.