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 285, 711, 407, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 711, 407, 848 is 1
GCD(285, 711, 407, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 711, 407, 848 is 1
GCD(285, 711, 407, 848) = 1
Given Input numbers are 285, 711, 407, 848
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 285, 711, 407, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 711, 407, 848 is 1.
Therefore, GCD of numbers 285, 711, 407, 848 is 1
Given Input Data is 285, 711, 407, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 407 is 11 x 37
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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(285, 711) = 67545
GCD(285, 711) = ( 285 x 711 ) / 67545
GCD(285, 711) = 202635 / 67545
GCD(285, 711) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 407) = 1221
GCD(3, 407) = ( 3 x 407 ) / 1221
GCD(3, 407) = 1221 / 1221
GCD(3, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 285, 711, 407, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 711, 407, 848?
GCD of 285, 711, 407, 848 is 1
2. Where do I get the detailed procedure to find GCD of 285, 711, 407, 848?
You can find a detailed procedure to find GCD of 285, 711, 407, 848 on our page.
3. How to find GCD of 285, 711, 407, 848 on a calculator?
You can find the GCD of 285, 711, 407, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.