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, 653, 416, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 653, 416, 990 is 1
GCD(43, 653, 416, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 653, 416, 990 is 1
GCD(43, 653, 416, 990) = 1
Given Input numbers are 43, 653, 416, 990
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 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 43, 653, 416, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 653, 416, 990 is 1.
Therefore, GCD of numbers 43, 653, 416, 990 is 1
Given Input Data is 43, 653, 416, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 653 is 653
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 990 is 2 x 3 x 3 x 5 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(43, 653) = 28079
GCD(43, 653) = ( 43 x 653 ) / 28079
GCD(43, 653) = 28079 / 28079
GCD(43, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
GCD of 43, 653, 416, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 653, 416, 990?
GCD of 43, 653, 416, 990 is 1
2. Where do I get the detailed procedure to find GCD of 43, 653, 416, 990?
You can find a detailed procedure to find GCD of 43, 653, 416, 990 on our page.
3. How to find GCD of 43, 653, 416, 990 on a calculator?
You can find the GCD of 43, 653, 416, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.