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 855, 704, 75, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 704, 75, 584 is 1
GCD(855, 704, 75, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 704, 75, 584 is 1
GCD(855, 704, 75, 584) = 1
Given Input numbers are 855, 704, 75, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 855, 704, 75, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 704, 75, 584 is 1.
Therefore, GCD of numbers 855, 704, 75, 584 is 1
Given Input Data is 855, 704, 75, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(855, 704) = 601920
GCD(855, 704) = ( 855 x 704 ) / 601920
GCD(855, 704) = 601920 / 601920
GCD(855, 704) = 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 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 855, 704, 75, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 704, 75, 584?
GCD of 855, 704, 75, 584 is 1
2. Where do I get the detailed procedure to find GCD of 855, 704, 75, 584?
You can find a detailed procedure to find GCD of 855, 704, 75, 584 on our page.
3. How to find GCD of 855, 704, 75, 584 on a calculator?
You can find the GCD of 855, 704, 75, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.