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 96, 736, 865, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 736, 865, 503 is 1
GCD(96, 736, 865, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 736, 865, 503 is 1
GCD(96, 736, 865, 503) = 1
Given Input numbers are 96, 736, 865, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 96, 736, 865, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 736, 865, 503 is 1.
Therefore, GCD of numbers 96, 736, 865, 503 is 1
Given Input Data is 96, 736, 865, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 865 is 5 x 173
Prime Factorization of 503 is 503
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(96, 736) = 2208
GCD(96, 736) = ( 96 x 736 ) / 2208
GCD(96, 736) = 70656 / 2208
GCD(96, 736) = 32
Step2:
Here we consider the GCD from the above i.e. 32 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(32, 865) = 27680
GCD(32, 865) = ( 32 x 865 ) / 27680
GCD(32, 865) = 27680 / 27680
GCD(32, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
GCD of 96, 736, 865, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 736, 865, 503?
GCD of 96, 736, 865, 503 is 1
2. Where do I get the detailed procedure to find GCD of 96, 736, 865, 503?
You can find a detailed procedure to find GCD of 96, 736, 865, 503 on our page.
3. How to find GCD of 96, 736, 865, 503 on a calculator?
You can find the GCD of 96, 736, 865, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.