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 471, 403, 553, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 403, 553, 448 is 1
GCD(471, 403, 553, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 403, 553, 448 is 1
GCD(471, 403, 553, 448) = 1
Given Input numbers are 471, 403, 553, 448
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
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
Greatest Common Divisior
We found the divisors of 471, 403, 553, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 403, 553, 448 is 1.
Therefore, GCD of numbers 471, 403, 553, 448 is 1
Given Input Data is 471, 403, 553, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 403 is 13 x 31
Prime Factorization of 553 is 7 x 79
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
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(471, 403) = 189813
GCD(471, 403) = ( 471 x 403 ) / 189813
GCD(471, 403) = 189813 / 189813
GCD(471, 403) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 471, 403, 553, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 403, 553, 448?
GCD of 471, 403, 553, 448 is 1
2. Where do I get the detailed procedure to find GCD of 471, 403, 553, 448?
You can find a detailed procedure to find GCD of 471, 403, 553, 448 on our page.
3. How to find GCD of 471, 403, 553, 448 on a calculator?
You can find the GCD of 471, 403, 553, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.