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, 135, 64, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 863, 135, 64, 724 is 1
GCD(863, 135, 64, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 863, 135, 64, 724 is 1
GCD(863, 135, 64, 724) = 1
Given Input numbers are 863, 135, 64, 724
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 863, 135, 64, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 863, 135, 64, 724 is 1.
Therefore, GCD of numbers 863, 135, 64, 724 is 1
Given Input Data is 863, 135, 64, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 863 is 863
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 724 is 2 x 2 x 181
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, 135) = 116505
GCD(863, 135) = ( 863 x 135 ) / 116505
GCD(863, 135) = 116505 / 116505
GCD(863, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
GCD of 863, 135, 64, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 863, 135, 64, 724?
GCD of 863, 135, 64, 724 is 1
2. Where do I get the detailed procedure to find GCD of 863, 135, 64, 724?
You can find a detailed procedure to find GCD of 863, 135, 64, 724 on our page.
3. How to find GCD of 863, 135, 64, 724 on a calculator?
You can find the GCD of 863, 135, 64, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.