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 47, 848, 821, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 848, 821, 431 is 1
GCD(47, 848, 821, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 848, 821, 431 is 1
GCD(47, 848, 821, 431) = 1
Given Input numbers are 47, 848, 821, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 47, 848, 821, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 848, 821, 431 is 1.
Therefore, GCD of numbers 47, 848, 821, 431 is 1
Given Input Data is 47, 848, 821, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 821 is 821
Prime Factorization of 431 is 431
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(47, 848) = 39856
GCD(47, 848) = ( 47 x 848 ) / 39856
GCD(47, 848) = 39856 / 39856
GCD(47, 848) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 47, 848, 821, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 848, 821, 431?
GCD of 47, 848, 821, 431 is 1
2. Where do I get the detailed procedure to find GCD of 47, 848, 821, 431?
You can find a detailed procedure to find GCD of 47, 848, 821, 431 on our page.
3. How to find GCD of 47, 848, 821, 431 on a calculator?
You can find the GCD of 47, 848, 821, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.