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 numbers 196, 255, 10, 371 is 1
GCD(196, 255, 10, 371) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.