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 584, 244, 983, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 244, 983, 148 is 1
GCD(584, 244, 983, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 244, 983, 148 is 1
GCD(584, 244, 983, 148) = 1
Given Input numbers are 584, 244, 983, 148
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 584, 244, 983, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 244, 983, 148 is 1.
Therefore, GCD of numbers 584, 244, 983, 148 is 1
Given Input Data is 584, 244, 983, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 983 is 983
Prime Factorization of 148 is 2 x 2 x 37
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(584, 244) = 35624
GCD(584, 244) = ( 584 x 244 ) / 35624
GCD(584, 244) = 142496 / 35624
GCD(584, 244) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 983) = 3932
GCD(4, 983) = ( 4 x 983 ) / 3932
GCD(4, 983) = 3932 / 3932
GCD(4, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
GCD of 584, 244, 983, 148 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 244, 983, 148?
GCD of 584, 244, 983, 148 is 1
2. Where do I get the detailed procedure to find GCD of 584, 244, 983, 148?
You can find a detailed procedure to find GCD of 584, 244, 983, 148 on our page.
3. How to find GCD of 584, 244, 983, 148 on a calculator?
You can find the GCD of 584, 244, 983, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.