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 920, 911, 99, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 911, 99, 176 is 1
GCD(920, 911, 99, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 911, 99, 176 is 1
GCD(920, 911, 99, 176) = 1
Given Input numbers are 920, 911, 99, 176
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greatest Common Divisior
We found the divisors of 920, 911, 99, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 911, 99, 176 is 1.
Therefore, GCD of numbers 920, 911, 99, 176 is 1
Given Input Data is 920, 911, 99, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 911 is 911
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
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(920, 911) = 838120
GCD(920, 911) = ( 920 x 911 ) / 838120
GCD(920, 911) = 838120 / 838120
GCD(920, 911) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
GCD of 920, 911, 99, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 911, 99, 176?
GCD of 920, 911, 99, 176 is 1
2. Where do I get the detailed procedure to find GCD of 920, 911, 99, 176?
You can find a detailed procedure to find GCD of 920, 911, 99, 176 on our page.
3. How to find GCD of 920, 911, 99, 176 on a calculator?
You can find the GCD of 920, 911, 99, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.