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 470, 821, 94, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 821, 94, 304 is 1
GCD(470, 821, 94, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 821, 94, 304 is 1
GCD(470, 821, 94, 304) = 1
Given Input numbers are 470, 821, 94, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 470, 821, 94, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 821, 94, 304 is 1.
Therefore, GCD of numbers 470, 821, 94, 304 is 1
Given Input Data is 470, 821, 94, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 821 is 821
Prime Factorization of 94 is 2 x 47
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(470, 821) = 385870
GCD(470, 821) = ( 470 x 821 ) / 385870
GCD(470, 821) = 385870 / 385870
GCD(470, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 94) = 94
GCD(1, 94) = ( 1 x 94 ) / 94
GCD(1, 94) = 94 / 94
GCD(1, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 470, 821, 94, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 821, 94, 304?
GCD of 470, 821, 94, 304 is 1
2. Where do I get the detailed procedure to find GCD of 470, 821, 94, 304?
You can find a detailed procedure to find GCD of 470, 821, 94, 304 on our page.
3. How to find GCD of 470, 821, 94, 304 on a calculator?
You can find the GCD of 470, 821, 94, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.