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 448, 234, 82, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 234, 82, 153 is 1
GCD(448, 234, 82, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 234, 82, 153 is 1
GCD(448, 234, 82, 153) = 1
Given Input numbers are 448, 234, 82, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 448, 234, 82, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 234, 82, 153 is 1.
Therefore, GCD of numbers 448, 234, 82, 153 is 1
Given Input Data is 448, 234, 82, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 82 is 2 x 41
Prime Factorization of 153 is 3 x 3 x 17
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(448, 234) = 52416
GCD(448, 234) = ( 448 x 234 ) / 52416
GCD(448, 234) = 104832 / 52416
GCD(448, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
GCD(2, 82) = 164 / 82
GCD(2, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
GCD(2, 153) = 306 / 306
GCD(2, 153) = 1
GCD of 448, 234, 82, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 234, 82, 153?
GCD of 448, 234, 82, 153 is 1
2. Where do I get the detailed procedure to find GCD of 448, 234, 82, 153?
You can find a detailed procedure to find GCD of 448, 234, 82, 153 on our page.
3. How to find GCD of 448, 234, 82, 153 on a calculator?
You can find the GCD of 448, 234, 82, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.