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 421, 448, 72, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 448, 72, 779 is 1
GCD(421, 448, 72, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 448, 72, 779 is 1
GCD(421, 448, 72, 779) = 1
Given Input numbers are 421, 448, 72, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
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 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 421, 448, 72, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 448, 72, 779 is 1.
Therefore, GCD of numbers 421, 448, 72, 779 is 1
Given Input Data is 421, 448, 72, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 779 is 19 x 41
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(421, 448) = 188608
GCD(421, 448) = ( 421 x 448 ) / 188608
GCD(421, 448) = 188608 / 188608
GCD(421, 448) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 421, 448, 72, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 448, 72, 779?
GCD of 421, 448, 72, 779 is 1
2. Where do I get the detailed procedure to find GCD of 421, 448, 72, 779?
You can find a detailed procedure to find GCD of 421, 448, 72, 779 on our page.
3. How to find GCD of 421, 448, 72, 779 on a calculator?
You can find the GCD of 421, 448, 72, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.