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 574, 870, 73, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 870, 73, 665 is 1
GCD(574, 870, 73, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 870, 73, 665 is 1
GCD(574, 870, 73, 665) = 1
Given Input numbers are 574, 870, 73, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 574, 870, 73, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 870, 73, 665 is 1.
Therefore, GCD of numbers 574, 870, 73, 665 is 1
Given Input Data is 574, 870, 73, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 73 is 73
Prime Factorization of 665 is 5 x 7 x 19
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(574, 870) = 249690
GCD(574, 870) = ( 574 x 870 ) / 249690
GCD(574, 870) = 499380 / 249690
GCD(574, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 574, 870, 73, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 870, 73, 665?
GCD of 574, 870, 73, 665 is 1
2. Where do I get the detailed procedure to find GCD of 574, 870, 73, 665?
You can find a detailed procedure to find GCD of 574, 870, 73, 665 on our page.
3. How to find GCD of 574, 870, 73, 665 on a calculator?
You can find the GCD of 574, 870, 73, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.