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GCD of 381, 492, 371 Calculator

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


Online GCD Calculator is useful to find the GCD of 381, 492, 371 quickly. Get the easiest ways to solve the greatest common divisor of 381, 492, 371 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 381, 492, 371 with Factoring?

Given Input numbers are 381, 492, 371

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371


GCD of numbers is the greatest common divisor

So, the GCD (381, 492, 371) = 1.

Find GCD of 381, 492, 371 using Prime Factorization

Given numbers are 381, 492, 371

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 371 are 7 x 53

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

Steps to Calculate GCD of 381, 492, 371 using LCM Formula

Given numbers are 381, 492, 371

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

Apply this formula for all numbers.

Step1:

LCM(381, 492) = 62484

GCD(381, 492) = ( 381 x 492 ) / 62484

= 381 / 492

= 381


Step2:

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

= 3 / 371

= 3


So, Greatest Common Divisor of 381, 492, 371 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 381, 492, 371

Given numbers are 381, 492, 371
The greatest common divisor of numbers 381, 492, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 492, 371 is 1.

FAQs on GCD of 381, 492, 371 Calculator

1. What is the GCD of 381, 492, 371?

GCD of given numbers 381, 492, 371 is 1


2. How to calculate the greatest common divisor of 381, 492, 371?

We can find the highest common divisor of 381, 492, 371 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 381, 492, 371 i.e 1.


3. How can I use the GCD of 381, 492, 371Calculator?

Out the numbers 381, 492, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.