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, 597, 96, 718 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 597, 96, 718 is 1
GCD(855, 597, 96, 718) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 597, 96, 718 is 1
GCD(855, 597, 96, 718) = 1
Given Input numbers are 855, 597, 96, 718
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 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 855, 597, 96, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 597, 96, 718 is 1.
Therefore, GCD of numbers 855, 597, 96, 718 is 1
Given Input Data is 855, 597, 96, 718
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 597 is 3 x 199
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 718 is 2 x 359
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, 597) = 170145
GCD(855, 597) = ( 855 x 597 ) / 170145
GCD(855, 597) = 510435 / 170145
GCD(855, 597) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 718) = 2154
GCD(3, 718) = ( 3 x 718 ) / 2154
GCD(3, 718) = 2154 / 2154
GCD(3, 718) = 1
GCD of 855, 597, 96, 718 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 597, 96, 718?
GCD of 855, 597, 96, 718 is 1
2. Where do I get the detailed procedure to find GCD of 855, 597, 96, 718?
You can find a detailed procedure to find GCD of 855, 597, 96, 718 on our page.
3. How to find GCD of 855, 597, 96, 718 on a calculator?
You can find the GCD of 855, 597, 96, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.