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 12, 845, 746, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 845, 746, 624 is 1
GCD(12, 845, 746, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 845, 746, 624 is 1
GCD(12, 845, 746, 624) = 1
Given Input numbers are 12, 845, 746, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
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
Greatest Common Divisior
We found the divisors of 12, 845, 746, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 845, 746, 624 is 1.
Therefore, GCD of numbers 12, 845, 746, 624 is 1
Given Input Data is 12, 845, 746, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 746 is 2 x 373
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 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(12, 845) = 10140
GCD(12, 845) = ( 12 x 845 ) / 10140
GCD(12, 845) = 10140 / 10140
GCD(12, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 12, 845, 746, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 845, 746, 624?
GCD of 12, 845, 746, 624 is 1
2. Where do I get the detailed procedure to find GCD of 12, 845, 746, 624?
You can find a detailed procedure to find GCD of 12, 845, 746, 624 on our page.
3. How to find GCD of 12, 845, 746, 624 on a calculator?
You can find the GCD of 12, 845, 746, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.