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 863, 735, 24, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 863, 735, 24, 260 is 1
GCD(863, 735, 24, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 863, 735, 24, 260 is 1
GCD(863, 735, 24, 260) = 1
Given Input numbers are 863, 735, 24, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 863, 735, 24, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 863, 735, 24, 260 is 1.
Therefore, GCD of numbers 863, 735, 24, 260 is 1
Given Input Data is 863, 735, 24, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 863 is 863
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 260 is 2 x 2 x 5 x 13
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(863, 735) = 634305
GCD(863, 735) = ( 863 x 735 ) / 634305
GCD(863, 735) = 634305 / 634305
GCD(863, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 863, 735, 24, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 863, 735, 24, 260?
GCD of 863, 735, 24, 260 is 1
2. Where do I get the detailed procedure to find GCD of 863, 735, 24, 260?
You can find a detailed procedure to find GCD of 863, 735, 24, 260 on our page.
3. How to find GCD of 863, 735, 24, 260 on a calculator?
You can find the GCD of 863, 735, 24, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.