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 304, 948, 67, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 948, 67, 638 is 1
GCD(304, 948, 67, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 948, 67, 638 is 1
GCD(304, 948, 67, 638) = 1
Given Input numbers are 304, 948, 67, 638
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 304, 948, 67, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 948, 67, 638 is 1.
Therefore, GCD of numbers 304, 948, 67, 638 is 1
Given Input Data is 304, 948, 67, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 67 is 67
Prime Factorization of 638 is 2 x 11 x 29
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(304, 948) = 72048
GCD(304, 948) = ( 304 x 948 ) / 72048
GCD(304, 948) = 288192 / 72048
GCD(304, 948) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 67) = 268
GCD(4, 67) = ( 4 x 67 ) / 268
GCD(4, 67) = 268 / 268
GCD(4, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
GCD of 304, 948, 67, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 948, 67, 638?
GCD of 304, 948, 67, 638 is 1
2. Where do I get the detailed procedure to find GCD of 304, 948, 67, 638?
You can find a detailed procedure to find GCD of 304, 948, 67, 638 on our page.
3. How to find GCD of 304, 948, 67, 638 on a calculator?
You can find the GCD of 304, 948, 67, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.