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, 873, 607, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 873, 607, 705 is 1
GCD(624, 873, 607, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 873, 607, 705 is 1
GCD(624, 873, 607, 705) = 1
Given Input numbers are 624, 873, 607, 705
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 624, 873, 607, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 873, 607, 705 is 1.
Therefore, GCD of numbers 624, 873, 607, 705 is 1
Given Input Data is 624, 873, 607, 705
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 873 is 3 x 3 x 97
Prime Factorization of 607 is 607
Prime Factorization of 705 is 3 x 5 x 47
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, 873) = 181584
GCD(624, 873) = ( 624 x 873 ) / 181584
GCD(624, 873) = 544752 / 181584
GCD(624, 873) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 607) = 1821
GCD(3, 607) = ( 3 x 607 ) / 1821
GCD(3, 607) = 1821 / 1821
GCD(3, 607) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 624, 873, 607, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 873, 607, 705?
GCD of 624, 873, 607, 705 is 1
2. Where do I get the detailed procedure to find GCD of 624, 873, 607, 705?
You can find a detailed procedure to find GCD of 624, 873, 607, 705 on our page.
3. How to find GCD of 624, 873, 607, 705 on a calculator?
You can find the GCD of 624, 873, 607, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.