GCD of 381, 277, 457 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 381, 277, 457 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 277, 457 is 1

GCD(381, 277, 457) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 381, 277, 457 is 1

GCD(381, 277, 457) = 1

GCD of 381,277,457 Calculator

GCDof 381,277,457 is 1

Given Input numbers are 381, 277, 457

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 381, 277, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 277, 457 is 1.

Therefore, GCD of numbers 381, 277, 457 is 1

Finding GCD of 381, 277, 457 using Prime Factorization

Given Input Data is 381, 277, 457

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 381 is 3 x 127

Prime Factorization of 277 is 277

Prime Factorization of 457 is 457

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

Finding GCD of 381, 277, 457 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(381, 277) = 105537

GCD(381, 277) = ( 381 x 277 ) / 105537

GCD(381, 277) = 105537 / 105537

GCD(381, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 381, 277, 457 is 1

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FAQs on GCD of numbers 381, 277, 457

1. What is the GCD of 381, 277, 457?

GCD of 381, 277, 457 is 1

2. Where do I get the detailed procedure to find GCD of 381, 277, 457?

You can find a detailed procedure to find GCD of 381, 277, 457 on our page.

3. How to find GCD of 381, 277, 457 on a calculator?

You can find the GCD of 381, 277, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.