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 232, 977, 11, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 977, 11, 798 is 1
GCD(232, 977, 11, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 977, 11, 798 is 1
GCD(232, 977, 11, 798) = 1
Given Input numbers are 232, 977, 11, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 232, 977, 11, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 977, 11, 798 is 1.
Therefore, GCD of numbers 232, 977, 11, 798 is 1
Given Input Data is 232, 977, 11, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 977 is 977
Prime Factorization of 11 is 11
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(232, 977) = 226664
GCD(232, 977) = ( 232 x 977 ) / 226664
GCD(232, 977) = 226664 / 226664
GCD(232, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 232, 977, 11, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 977, 11, 798?
GCD of 232, 977, 11, 798 is 1
2. Where do I get the detailed procedure to find GCD of 232, 977, 11, 798?
You can find a detailed procedure to find GCD of 232, 977, 11, 798 on our page.
3. How to find GCD of 232, 977, 11, 798 on a calculator?
You can find the GCD of 232, 977, 11, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.