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, 582, 350, 694 i.e. 2 largest integer that divides all the numbers equally.
GCD of 624, 582, 350, 694 is 2
GCD(624, 582, 350, 694) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 582, 350, 694 is 2
GCD(624, 582, 350, 694) = 2
Given Input numbers are 624, 582, 350, 694
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 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 624, 582, 350, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 582, 350, 694 is 2.
Therefore, GCD of numbers 624, 582, 350, 694 is 2
Given Input Data is 624, 582, 350, 694
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 582 is 2 x 3 x 97
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 694 is 2 x 347
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 582) = 60528
GCD(624, 582) = ( 624 x 582 ) / 60528
GCD(624, 582) = 363168 / 60528
GCD(624, 582) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 350) = 1050
GCD(6, 350) = ( 6 x 350 ) / 1050
GCD(6, 350) = 2100 / 1050
GCD(6, 350) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 694) = 694
GCD(2, 694) = ( 2 x 694 ) / 694
GCD(2, 694) = 1388 / 694
GCD(2, 694) = 2
GCD of 624, 582, 350, 694 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 582, 350, 694?
GCD of 624, 582, 350, 694 is 2
2. Where do I get the detailed procedure to find GCD of 624, 582, 350, 694?
You can find a detailed procedure to find GCD of 624, 582, 350, 694 on our page.
3. How to find GCD of 624, 582, 350, 694 on a calculator?
You can find the GCD of 624, 582, 350, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.