GCD of 196, 255, 10, 371 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 196, 255, 10, 371 i.e. 1 largest integer that divides all the numbers equally.

GCD of 196, 255, 10, 371 is 1

GCD(196, 255, 10, 371) = 1

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

GCD of

GCD of numbers 196, 255, 10, 371 is 1

GCD(196, 255, 10, 371) = 1

GCD of 196,255,10,371 Calculator

GCDof 196,255,10,371 is 1

Given Input numbers are 196, 255, 10, 371

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

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 196, 255, 10, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 255, 10, 371 is 1.

Therefore, GCD of numbers 196, 255, 10, 371 is 1

Finding GCD of 196, 255, 10, 371 using Prime Factorization

Given Input Data is 196, 255, 10, 371

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

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 10 is 2 x 5

Prime Factorization of 371 is 7 x 53

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

Finding GCD of 196, 255, 10, 371 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(196, 255) = 49980

GCD(196, 255) = ( 196 x 255 ) / 49980

GCD(196, 255) = 49980 / 49980

GCD(196, 255) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 196, 255, 10, 371 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 196, 255, 10, 371

1. What is the GCD of 196, 255, 10, 371?

GCD of 196, 255, 10, 371 is 1


2. Where do I get the detailed procedure to find GCD of 196, 255, 10, 371?

You can find a detailed procedure to find GCD of 196, 255, 10, 371 on our page.


3. How to find GCD of 196, 255, 10, 371 on a calculator?

You can find the GCD of 196, 255, 10, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.