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, 326, 67, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 326, 67, 670 is 1
GCD(448, 326, 67, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 326, 67, 670 is 1
GCD(448, 326, 67, 670) = 1
Given Input numbers are 448, 326, 67, 670
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 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 448, 326, 67, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 326, 67, 670 is 1.
Therefore, GCD of numbers 448, 326, 67, 670 is 1
Given Input Data is 448, 326, 67, 670
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 326 is 2 x 163
Prime Factorization of 67 is 67
Prime Factorization of 670 is 2 x 5 x 67
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, 326) = 73024
GCD(448, 326) = ( 448 x 326 ) / 73024
GCD(448, 326) = 146048 / 73024
GCD(448, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 448, 326, 67, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 326, 67, 670?
GCD of 448, 326, 67, 670 is 1
2. Where do I get the detailed procedure to find GCD of 448, 326, 67, 670?
You can find a detailed procedure to find GCD of 448, 326, 67, 670 on our page.
3. How to find GCD of 448, 326, 67, 670 on a calculator?
You can find the GCD of 448, 326, 67, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.