GCD of 381, 889, 49 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, 889, 49 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 889, 49 is 1

GCD(381, 889, 49) = 1

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

GCD of

GCD of numbers 381, 889, 49 is 1

GCD(381, 889, 49) = 1

GCD of 381,889,49 Calculator

GCDof 381,889,49 is 1

Given Input numbers are 381, 889, 49

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 381, 889, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 889, 49 is 1.

Therefore, GCD of numbers 381, 889, 49 is 1

Finding GCD of 381, 889, 49 using Prime Factorization

Given Input Data is 381, 889, 49

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 889 is 7 x 127

Prime Factorization of 49 is 7 x 7

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

Finding GCD of 381, 889, 49 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, 889) = 2667

GCD(381, 889) = ( 381 x 889 ) / 2667

GCD(381, 889) = 338709 / 2667

GCD(381, 889) = 127

Step2:

Here we consider the GCD from the above i.e. 127 as first number and the next as 49

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

LCM(127, 49) = 6223

GCD(127, 49) = ( 127 x 49 ) / 6223

GCD(127, 49) = 6223 / 6223

GCD(127, 49) = 1

GCD of 381, 889, 49 is 1

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FAQs on GCD of numbers 381, 889, 49

1. What is the GCD of 381, 889, 49?

GCD of 381, 889, 49 is 1

2. Where do I get the detailed procedure to find GCD of 381, 889, 49?

You can find a detailed procedure to find GCD of 381, 889, 49 on our page.

3. How to find GCD of 381, 889, 49 on a calculator?

You can find the GCD of 381, 889, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.