GCD of 49, 778, 381, 196 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 49, 778, 381, 196 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 778, 381, 196 is 1

GCD(49, 778, 381, 196) = 1

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

GCD of

GCD of numbers 49, 778, 381, 196 is 1

GCD(49, 778, 381, 196) = 1

GCD of 49,778,381,196 Calculator

GCDof 49,778,381,196 is 1

Given Input numbers are 49, 778, 381, 196

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

Divisors of 49

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

1, 7, 49

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 381

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

1, 3, 127, 381

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 49, 778, 381, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 778, 381, 196 is 1.

Therefore, GCD of numbers 49, 778, 381, 196 is 1

Finding GCD of 49, 778, 381, 196 using Prime Factorization

Given Input Data is 49, 778, 381, 196

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 778 is 2 x 389

Prime Factorization of 381 is 3 x 127

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Finding GCD of 49, 778, 381, 196 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(49, 778) = 38122

GCD(49, 778) = ( 49 x 778 ) / 38122

GCD(49, 778) = 38122 / 38122

GCD(49, 778) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 49, 778, 381, 196 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 778, 381, 196

1. What is the GCD of 49, 778, 381, 196?

GCD of 49, 778, 381, 196 is 1


2. Where do I get the detailed procedure to find GCD of 49, 778, 381, 196?

You can find a detailed procedure to find GCD of 49, 778, 381, 196 on our page.


3. How to find GCD of 49, 778, 381, 196 on a calculator?

You can find the GCD of 49, 778, 381, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.