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 561, 864, 76, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 864, 76, 995 is 1
GCD(561, 864, 76, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 864, 76, 995 is 1
GCD(561, 864, 76, 995) = 1
Given Input numbers are 561, 864, 76, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 561, 864, 76, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 864, 76, 995 is 1.
Therefore, GCD of numbers 561, 864, 76, 995 is 1
Given Input Data is 561, 864, 76, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 995 is 5 x 199
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(561, 864) = 161568
GCD(561, 864) = ( 561 x 864 ) / 161568
GCD(561, 864) = 484704 / 161568
GCD(561, 864) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 76) = 228
GCD(3, 76) = ( 3 x 76 ) / 228
GCD(3, 76) = 228 / 228
GCD(3, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 561, 864, 76, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 864, 76, 995?
GCD of 561, 864, 76, 995 is 1
2. Where do I get the detailed procedure to find GCD of 561, 864, 76, 995?
You can find a detailed procedure to find GCD of 561, 864, 76, 995 on our page.
3. How to find GCD of 561, 864, 76, 995 on a calculator?
You can find the GCD of 561, 864, 76, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.