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 195, 848, 57, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 848, 57, 424 is 1
GCD(195, 848, 57, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 848, 57, 424 is 1
GCD(195, 848, 57, 424) = 1
Given Input numbers are 195, 848, 57, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 195, 848, 57, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 848, 57, 424 is 1.
Therefore, GCD of numbers 195, 848, 57, 424 is 1
Given Input Data is 195, 848, 57, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 57 is 3 x 19
Prime Factorization of 424 is 2 x 2 x 2 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(195, 848) = 165360
GCD(195, 848) = ( 195 x 848 ) / 165360
GCD(195, 848) = 165360 / 165360
GCD(195, 848) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 195, 848, 57, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 848, 57, 424?
GCD of 195, 848, 57, 424 is 1
2. Where do I get the detailed procedure to find GCD of 195, 848, 57, 424?
You can find a detailed procedure to find GCD of 195, 848, 57, 424 on our page.
3. How to find GCD of 195, 848, 57, 424 on a calculator?
You can find the GCD of 195, 848, 57, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.