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GCD of 380, 754, 199, 727 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, 754, 199, 727 quickly. Get the easiest ways to solve the greatest common divisor of 380, 754, 199, 727 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 754, 199, 727 with Factoring?

Given Input numbers are 380, 754, 199, 727

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727


GCD of numbers is the greatest common divisor

So, the GCD (380, 754, 199, 727) = 1.

Find GCD of 380, 754, 199, 727 using Prime Factorization

Given numbers are 380, 754, 199, 727

The list of prime factors of all numbers are

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

Prime factors of 754 are 2 x 13 x 29

Prime factors of 199 are 199

Prime factors of 727 are 727

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

Steps to Calculate GCD of 380, 754, 199, 727 using LCM Formula

Given numbers are 380, 754, 199, 727

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

Apply this formula for all numbers.

Step1:

LCM(380, 754) = 143260

GCD(380, 754) = ( 380 x 754 ) / 143260

= 380 / 754

= 380


Step2:

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

= 2 / 199

= 2


Step3:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1


So, Greatest Common Divisor of 380, 754, 199, 727 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 754, 199, 727

Given numbers are 380, 754, 199, 727
The greatest common divisor of numbers 380, 754, 199, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 754, 199, 727 is 1.

FAQs on GCD of 380, 754, 199, 727 Calculator

1. What is the GCD of 380, 754, 199, 727?

GCD of given numbers 380, 754, 199, 727 is 1


2. How to calculate the greatest common divisor of 380, 754, 199, 727?

We can find the highest common divisor of 380, 754, 199, 727 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, 754, 199, 727 i.e 1.


3. How can I use the GCD of 380, 754, 199, 727Calculator?

Out the numbers 380, 754, 199, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.