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 101, 713, 38, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 713, 38, 896 is 1
GCD(101, 713, 38, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 713, 38, 896 is 1
GCD(101, 713, 38, 896) = 1
Given Input numbers are 101, 713, 38, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Greatest Common Divisior
We found the divisors of 101, 713, 38, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 713, 38, 896 is 1.
Therefore, GCD of numbers 101, 713, 38, 896 is 1
Given Input Data is 101, 713, 38, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 713 is 23 x 31
Prime Factorization of 38 is 2 x 19
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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(101, 713) = 72013
GCD(101, 713) = ( 101 x 713 ) / 72013
GCD(101, 713) = 72013 / 72013
GCD(101, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 101, 713, 38, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 713, 38, 896?
GCD of 101, 713, 38, 896 is 1
2. Where do I get the detailed procedure to find GCD of 101, 713, 38, 896?
You can find a detailed procedure to find GCD of 101, 713, 38, 896 on our page.
3. How to find GCD of 101, 713, 38, 896 on a calculator?
You can find the GCD of 101, 713, 38, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.