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, 735, 74, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 735, 74, 484 is 1
GCD(448, 735, 74, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 735, 74, 484 is 1
GCD(448, 735, 74, 484) = 1
Given Input numbers are 448, 735, 74, 484
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 448, 735, 74, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 735, 74, 484 is 1.
Therefore, GCD of numbers 448, 735, 74, 484 is 1
Given Input Data is 448, 735, 74, 484
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 735 is 3 x 5 x 7 x 7
Prime Factorization of 74 is 2 x 37
Prime Factorization of 484 is 2 x 2 x 11 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(448, 735) = 47040
GCD(448, 735) = ( 448 x 735 ) / 47040
GCD(448, 735) = 329280 / 47040
GCD(448, 735) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 74) = 518
GCD(7, 74) = ( 7 x 74 ) / 518
GCD(7, 74) = 518 / 518
GCD(7, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 448, 735, 74, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 735, 74, 484?
GCD of 448, 735, 74, 484 is 1
2. Where do I get the detailed procedure to find GCD of 448, 735, 74, 484?
You can find a detailed procedure to find GCD of 448, 735, 74, 484 on our page.
3. How to find GCD of 448, 735, 74, 484 on a calculator?
You can find the GCD of 448, 735, 74, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.