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 28, 329, 624, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 329, 624, 107 is 1
GCD(28, 329, 624, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 329, 624, 107 is 1
GCD(28, 329, 624, 107) = 1
Given Input numbers are 28, 329, 624, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 28, 329, 624, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 329, 624, 107 is 1.
Therefore, GCD of numbers 28, 329, 624, 107 is 1
Given Input Data is 28, 329, 624, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 329 is 7 x 47
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 107 is 107
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(28, 329) = 1316
GCD(28, 329) = ( 28 x 329 ) / 1316
GCD(28, 329) = 9212 / 1316
GCD(28, 329) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 624) = 4368
GCD(7, 624) = ( 7 x 624 ) / 4368
GCD(7, 624) = 4368 / 4368
GCD(7, 624) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 28, 329, 624, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 329, 624, 107?
GCD of 28, 329, 624, 107 is 1
2. Where do I get the detailed procedure to find GCD of 28, 329, 624, 107?
You can find a detailed procedure to find GCD of 28, 329, 624, 107 on our page.
3. How to find GCD of 28, 329, 624, 107 on a calculator?
You can find the GCD of 28, 329, 624, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.