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 43, 118, 932, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 118, 932, 289 is 1
GCD(43, 118, 932, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 118, 932, 289 is 1
GCD(43, 118, 932, 289) = 1
Given Input numbers are 43, 118, 932, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 43, 118, 932, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 118, 932, 289 is 1.
Therefore, GCD of numbers 43, 118, 932, 289 is 1
Given Input Data is 43, 118, 932, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 118 is 2 x 59
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 289 is 17 x 17
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(43, 118) = 5074
GCD(43, 118) = ( 43 x 118 ) / 5074
GCD(43, 118) = 5074 / 5074
GCD(43, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 43, 118, 932, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 118, 932, 289?
GCD of 43, 118, 932, 289 is 1
2. Where do I get the detailed procedure to find GCD of 43, 118, 932, 289?
You can find a detailed procedure to find GCD of 43, 118, 932, 289 on our page.
3. How to find GCD of 43, 118, 932, 289 on a calculator?
You can find the GCD of 43, 118, 932, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.