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 308, 811, 49, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 811, 49, 176 is 1
GCD(308, 811, 49, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 811, 49, 176 is 1
GCD(308, 811, 49, 176) = 1
Given Input numbers are 308, 811, 49, 176
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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 308, 811, 49, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 811, 49, 176 is 1.
Therefore, GCD of numbers 308, 811, 49, 176 is 1
Given Input Data is 308, 811, 49, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 811 is 811
Prime Factorization of 49 is 7 x 7
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(308, 811) = 249788
GCD(308, 811) = ( 308 x 811 ) / 249788
GCD(308, 811) = 249788 / 249788
GCD(308, 811) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 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 308, 811, 49, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 811, 49, 176?
GCD of 308, 811, 49, 176 is 1
2. Where do I get the detailed procedure to find GCD of 308, 811, 49, 176?
You can find a detailed procedure to find GCD of 308, 811, 49, 176 on our page.
3. How to find GCD of 308, 811, 49, 176 on a calculator?
You can find the GCD of 308, 811, 49, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.