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 291, 616, 891, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 616, 891, 432 is 1
GCD(291, 616, 891, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 616, 891, 432 is 1
GCD(291, 616, 891, 432) = 1
Given Input numbers are 291, 616, 891, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 291, 616, 891, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 616, 891, 432 is 1.
Therefore, GCD of numbers 291, 616, 891, 432 is 1
Given Input Data is 291, 616, 891, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(291, 616) = 179256
GCD(291, 616) = ( 291 x 616 ) / 179256
GCD(291, 616) = 179256 / 179256
GCD(291, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 291, 616, 891, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 616, 891, 432?
GCD of 291, 616, 891, 432 is 1
2. Where do I get the detailed procedure to find GCD of 291, 616, 891, 432?
You can find a detailed procedure to find GCD of 291, 616, 891, 432 on our page.
3. How to find GCD of 291, 616, 891, 432 on a calculator?
You can find the GCD of 291, 616, 891, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.