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 896, 192, 80, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 192, 80, 877 is 1
GCD(896, 192, 80, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 192, 80, 877 is 1
GCD(896, 192, 80, 877) = 1
Given Input numbers are 896, 192, 80, 877
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 896, 192, 80, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 192, 80, 877 is 1.
Therefore, GCD of numbers 896, 192, 80, 877 is 1
Given Input Data is 896, 192, 80, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 877 is 877
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(896, 192) = 2688
GCD(896, 192) = ( 896 x 192 ) / 2688
GCD(896, 192) = 172032 / 2688
GCD(896, 192) = 64
Step2:
Here we consider the GCD from the above i.e. 64 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(64, 80) = 320
GCD(64, 80) = ( 64 x 80 ) / 320
GCD(64, 80) = 5120 / 320
GCD(64, 80) = 16
Step3:
Here we consider the GCD from the above i.e. 16 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 877) = 14032
GCD(16, 877) = ( 16 x 877 ) / 14032
GCD(16, 877) = 14032 / 14032
GCD(16, 877) = 1
GCD of 896, 192, 80, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 192, 80, 877?
GCD of 896, 192, 80, 877 is 1
2. Where do I get the detailed procedure to find GCD of 896, 192, 80, 877?
You can find a detailed procedure to find GCD of 896, 192, 80, 877 on our page.
3. How to find GCD of 896, 192, 80, 877 on a calculator?
You can find the GCD of 896, 192, 80, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.