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 885, 965, 49, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 885, 965, 49, 584 is 1
GCD(885, 965, 49, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 885, 965, 49, 584 is 1
GCD(885, 965, 49, 584) = 1
Given Input numbers are 885, 965, 49, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 885, 965, 49, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 965, 49, 584 is 1.
Therefore, GCD of numbers 885, 965, 49, 584 is 1
Given Input Data is 885, 965, 49, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 965 is 5 x 193
Prime Factorization of 49 is 7 x 7
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(885, 965) = 170805
GCD(885, 965) = ( 885 x 965 ) / 170805
GCD(885, 965) = 854025 / 170805
GCD(885, 965) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 49) = 245
GCD(5, 49) = ( 5 x 49 ) / 245
GCD(5, 49) = 245 / 245
GCD(5, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 885, 965, 49, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 885, 965, 49, 584?
GCD of 885, 965, 49, 584 is 1
2. Where do I get the detailed procedure to find GCD of 885, 965, 49, 584?
You can find a detailed procedure to find GCD of 885, 965, 49, 584 on our page.
3. How to find GCD of 885, 965, 49, 584 on a calculator?
You can find the GCD of 885, 965, 49, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.