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 848, 464, 65, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 464, 65, 231 is 1
GCD(848, 464, 65, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 464, 65, 231 is 1
GCD(848, 464, 65, 231) = 1
Given Input numbers are 848, 464, 65, 231
To find the GCD of numbers using factoring list out all the divisors of each number
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 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 848, 464, 65, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 464, 65, 231 is 1.
Therefore, GCD of numbers 848, 464, 65, 231 is 1
Given Input Data is 848, 464, 65, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 65 is 5 x 13
Prime Factorization of 231 is 3 x 7 x 11
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(848, 464) = 24592
GCD(848, 464) = ( 848 x 464 ) / 24592
GCD(848, 464) = 393472 / 24592
GCD(848, 464) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 65) = 1040
GCD(16, 65) = ( 16 x 65 ) / 1040
GCD(16, 65) = 1040 / 1040
GCD(16, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 848, 464, 65, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 464, 65, 231?
GCD of 848, 464, 65, 231 is 1
2. Where do I get the detailed procedure to find GCD of 848, 464, 65, 231?
You can find a detailed procedure to find GCD of 848, 464, 65, 231 on our page.
3. How to find GCD of 848, 464, 65, 231 on a calculator?
You can find the GCD of 848, 464, 65, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.