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 613, 703, 75, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 613, 703, 75, 872 is 1
GCD(613, 703, 75, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 613, 703, 75, 872 is 1
GCD(613, 703, 75, 872) = 1
Given Input numbers are 613, 703, 75, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 613, 703, 75, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 703, 75, 872 is 1.
Therefore, GCD of numbers 613, 703, 75, 872 is 1
Given Input Data is 613, 703, 75, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 613 is 613
Prime Factorization of 703 is 19 x 37
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(613, 703) = 430939
GCD(613, 703) = ( 613 x 703 ) / 430939
GCD(613, 703) = 430939 / 430939
GCD(613, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 613, 703, 75, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 613, 703, 75, 872?
GCD of 613, 703, 75, 872 is 1
2. Where do I get the detailed procedure to find GCD of 613, 703, 75, 872?
You can find a detailed procedure to find GCD of 613, 703, 75, 872 on our page.
3. How to find GCD of 613, 703, 75, 872 on a calculator?
You can find the GCD of 613, 703, 75, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.