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 884, 248, 945, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 884, 248, 945, 505 is 1
GCD(884, 248, 945, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 884, 248, 945, 505 is 1
GCD(884, 248, 945, 505) = 1
Given Input numbers are 884, 248, 945, 505
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 884, 248, 945, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 248, 945, 505 is 1.
Therefore, GCD of numbers 884, 248, 945, 505 is 1
Given Input Data is 884, 248, 945, 505
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 505 is 5 x 101
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(884, 248) = 54808
GCD(884, 248) = ( 884 x 248 ) / 54808
GCD(884, 248) = 219232 / 54808
GCD(884, 248) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 945) = 3780
GCD(4, 945) = ( 4 x 945 ) / 3780
GCD(4, 945) = 3780 / 3780
GCD(4, 945) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
GCD of 884, 248, 945, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 884, 248, 945, 505?
GCD of 884, 248, 945, 505 is 1
2. Where do I get the detailed procedure to find GCD of 884, 248, 945, 505?
You can find a detailed procedure to find GCD of 884, 248, 945, 505 on our page.
3. How to find GCD of 884, 248, 945, 505 on a calculator?
You can find the GCD of 884, 248, 945, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.