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, 268, 81, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 268, 81, 188 is 1
GCD(448, 268, 81, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 268, 81, 188 is 1
GCD(448, 268, 81, 188) = 1
Given Input numbers are 448, 268, 81, 188
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 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 448, 268, 81, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 268, 81, 188 is 1.
Therefore, GCD of numbers 448, 268, 81, 188 is 1
Given Input Data is 448, 268, 81, 188
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 268 is 2 x 2 x 67
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 188 is 2 x 2 x 47
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, 268) = 30016
GCD(448, 268) = ( 448 x 268 ) / 30016
GCD(448, 268) = 120064 / 30016
GCD(448, 268) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 448, 268, 81, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 268, 81, 188?
GCD of 448, 268, 81, 188 is 1
2. Where do I get the detailed procedure to find GCD of 448, 268, 81, 188?
You can find a detailed procedure to find GCD of 448, 268, 81, 188 on our page.
3. How to find GCD of 448, 268, 81, 188 on a calculator?
You can find the GCD of 448, 268, 81, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.