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 782, 293, 48, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 293, 48, 575 is 1
GCD(782, 293, 48, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 293, 48, 575 is 1
GCD(782, 293, 48, 575) = 1
Given Input numbers are 782, 293, 48, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 782, 293, 48, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 293, 48, 575 is 1.
Therefore, GCD of numbers 782, 293, 48, 575 is 1
Given Input Data is 782, 293, 48, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 293 is 293
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 575 is 5 x 5 x 23
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(782, 293) = 229126
GCD(782, 293) = ( 782 x 293 ) / 229126
GCD(782, 293) = 229126 / 229126
GCD(782, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 782, 293, 48, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 293, 48, 575?
GCD of 782, 293, 48, 575 is 1
2. Where do I get the detailed procedure to find GCD of 782, 293, 48, 575?
You can find a detailed procedure to find GCD of 782, 293, 48, 575 on our page.
3. How to find GCD of 782, 293, 48, 575 on a calculator?
You can find the GCD of 782, 293, 48, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.