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 801, 112, 68, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 801, 112, 68, 928 is 1
GCD(801, 112, 68, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 801, 112, 68, 928 is 1
GCD(801, 112, 68, 928) = 1
Given Input numbers are 801, 112, 68, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 801, 112, 68, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 112, 68, 928 is 1.
Therefore, GCD of numbers 801, 112, 68, 928 is 1
Given Input Data is 801, 112, 68, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(801, 112) = 89712
GCD(801, 112) = ( 801 x 112 ) / 89712
GCD(801, 112) = 89712 / 89712
GCD(801, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 801, 112, 68, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 801, 112, 68, 928?
GCD of 801, 112, 68, 928 is 1
2. Where do I get the detailed procedure to find GCD of 801, 112, 68, 928?
You can find a detailed procedure to find GCD of 801, 112, 68, 928 on our page.
3. How to find GCD of 801, 112, 68, 928 on a calculator?
You can find the GCD of 801, 112, 68, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.