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, 310, 61, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 310, 61, 467 is 1
GCD(855, 310, 61, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 310, 61, 467 is 1
GCD(855, 310, 61, 467) = 1
Given Input numbers are 855, 310, 61, 467
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 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 855, 310, 61, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 310, 61, 467 is 1.
Therefore, GCD of numbers 855, 310, 61, 467 is 1
Given Input Data is 855, 310, 61, 467
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 310 is 2 x 5 x 31
Prime Factorization of 61 is 61
Prime Factorization of 467 is 467
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, 310) = 53010
GCD(855, 310) = ( 855 x 310 ) / 53010
GCD(855, 310) = 265050 / 53010
GCD(855, 310) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 61) = 305
GCD(5, 61) = ( 5 x 61 ) / 305
GCD(5, 61) = 305 / 305
GCD(5, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 855, 310, 61, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 310, 61, 467?
GCD of 855, 310, 61, 467 is 1
2. Where do I get the detailed procedure to find GCD of 855, 310, 61, 467?
You can find a detailed procedure to find GCD of 855, 310, 61, 467 on our page.
3. How to find GCD of 855, 310, 61, 467 on a calculator?
You can find the GCD of 855, 310, 61, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.