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 11, 932, 100, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 932, 100, 477 is 1
GCD(11, 932, 100, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 932, 100, 477 is 1
GCD(11, 932, 100, 477) = 1
Given Input numbers are 11, 932, 100, 477
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 11, 932, 100, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 932, 100, 477 is 1.
Therefore, GCD of numbers 11, 932, 100, 477 is 1
Given Input Data is 11, 932, 100, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 477 is 3 x 3 x 53
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(11, 932) = 10252
GCD(11, 932) = ( 11 x 932 ) / 10252
GCD(11, 932) = 10252 / 10252
GCD(11, 932) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 11, 932, 100, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 932, 100, 477?
GCD of 11, 932, 100, 477 is 1
2. Where do I get the detailed procedure to find GCD of 11, 932, 100, 477?
You can find a detailed procedure to find GCD of 11, 932, 100, 477 on our page.
3. How to find GCD of 11, 932, 100, 477 on a calculator?
You can find the GCD of 11, 932, 100, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.