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 624, 930, 747, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 930, 747, 845 is 1
GCD(624, 930, 747, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 930, 747, 845 is 1
GCD(624, 930, 747, 845) = 1
Given Input numbers are 624, 930, 747, 845
To find the GCD of numbers using factoring list out all the divisors of each number
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 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 624, 930, 747, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 930, 747, 845 is 1.
Therefore, GCD of numbers 624, 930, 747, 845 is 1
Given Input Data is 624, 930, 747, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 845 is 5 x 13 x 13
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(624, 930) = 96720
GCD(624, 930) = ( 624 x 930 ) / 96720
GCD(624, 930) = 580320 / 96720
GCD(624, 930) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 747) = 1494
GCD(6, 747) = ( 6 x 747 ) / 1494
GCD(6, 747) = 4482 / 1494
GCD(6, 747) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 845) = 2535
GCD(3, 845) = ( 3 x 845 ) / 2535
GCD(3, 845) = 2535 / 2535
GCD(3, 845) = 1
GCD of 624, 930, 747, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 930, 747, 845?
GCD of 624, 930, 747, 845 is 1
2. Where do I get the detailed procedure to find GCD of 624, 930, 747, 845?
You can find a detailed procedure to find GCD of 624, 930, 747, 845 on our page.
3. How to find GCD of 624, 930, 747, 845 on a calculator?
You can find the GCD of 624, 930, 747, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.