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 893, 345, 85, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 893, 345, 85, 858 is 1
GCD(893, 345, 85, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 893, 345, 85, 858 is 1
GCD(893, 345, 85, 858) = 1
Given Input numbers are 893, 345, 85, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 893, 345, 85, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 345, 85, 858 is 1.
Therefore, GCD of numbers 893, 345, 85, 858 is 1
Given Input Data is 893, 345, 85, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 893 is 19 x 47
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 85 is 5 x 17
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(893, 345) = 308085
GCD(893, 345) = ( 893 x 345 ) / 308085
GCD(893, 345) = 308085 / 308085
GCD(893, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 893, 345, 85, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 893, 345, 85, 858?
GCD of 893, 345, 85, 858 is 1
2. Where do I get the detailed procedure to find GCD of 893, 345, 85, 858?
You can find a detailed procedure to find GCD of 893, 345, 85, 858 on our page.
3. How to find GCD of 893, 345, 85, 858 on a calculator?
You can find the GCD of 893, 345, 85, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.