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 583, 935, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 583, 935, 148 is 1
GCD(583, 935, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 583, 935, 148 is 1
GCD(583, 935, 148) = 1
Given Input numbers are 583, 935, 148
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
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 583, 935, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 935, 148 is 1.
Therefore, GCD of numbers 583, 935, 148 is 1
Given Input Data is 583, 935, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 583 is 11 x 53
Prime Factorization of 935 is 5 x 11 x 17
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(583, 935) = 49555
GCD(583, 935) = ( 583 x 935 ) / 49555
GCD(583, 935) = 545105 / 49555
GCD(583, 935) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 148) = 1628
GCD(11, 148) = ( 11 x 148 ) / 1628
GCD(11, 148) = 1628 / 1628
GCD(11, 148) = 1
GCD of 583, 935, 148 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 583, 935, 148?
GCD of 583, 935, 148 is 1
2. Where do I get the detailed procedure to find GCD of 583, 935, 148?
You can find a detailed procedure to find GCD of 583, 935, 148 on our page.
3. How to find GCD of 583, 935, 148 on a calculator?
You can find the GCD of 583, 935, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.