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 888, 472, 705, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 472, 705, 263 is 1
GCD(888, 472, 705, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 472, 705, 263 is 1
GCD(888, 472, 705, 263) = 1
Given Input numbers are 888, 472, 705, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 888, 472, 705, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 472, 705, 263 is 1.
Therefore, GCD of numbers 888, 472, 705, 263 is 1
Given Input Data is 888, 472, 705, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 263 is 263
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(888, 472) = 52392
GCD(888, 472) = ( 888 x 472 ) / 52392
GCD(888, 472) = 419136 / 52392
GCD(888, 472) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 705) = 5640
GCD(8, 705) = ( 8 x 705 ) / 5640
GCD(8, 705) = 5640 / 5640
GCD(8, 705) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 888, 472, 705, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 472, 705, 263?
GCD of 888, 472, 705, 263 is 1
2. Where do I get the detailed procedure to find GCD of 888, 472, 705, 263?
You can find a detailed procedure to find GCD of 888, 472, 705, 263 on our page.
3. How to find GCD of 888, 472, 705, 263 on a calculator?
You can find the GCD of 888, 472, 705, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.