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, 743, 77, 478 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 743, 77, 478 is 1
GCD(448, 743, 77, 478) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 743, 77, 478 is 1
GCD(448, 743, 77, 478) = 1
Given Input numbers are 448, 743, 77, 478
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 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Greatest Common Divisior
We found the divisors of 448, 743, 77, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 743, 77, 478 is 1.
Therefore, GCD of numbers 448, 743, 77, 478 is 1
Given Input Data is 448, 743, 77, 478
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 743 is 743
Prime Factorization of 77 is 7 x 11
Prime Factorization of 478 is 2 x 239
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, 743) = 332864
GCD(448, 743) = ( 448 x 743 ) / 332864
GCD(448, 743) = 332864 / 332864
GCD(448, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
GCD of 448, 743, 77, 478 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 743, 77, 478?
GCD of 448, 743, 77, 478 is 1
2. Where do I get the detailed procedure to find GCD of 448, 743, 77, 478?
You can find a detailed procedure to find GCD of 448, 743, 77, 478 on our page.
3. How to find GCD of 448, 743, 77, 478 on a calculator?
You can find the GCD of 448, 743, 77, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.