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, 221, 651, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 221, 651, 795 is 1
GCD(561, 221, 651, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 221, 651, 795 is 1
GCD(561, 221, 651, 795) = 1
Given Input numbers are 561, 221, 651, 795
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 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 561, 221, 651, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 221, 651, 795 is 1.
Therefore, GCD of numbers 561, 221, 651, 795 is 1
Given Input Data is 561, 221, 651, 795
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 221 is 13 x 17
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 795 is 3 x 5 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(561, 221) = 7293
GCD(561, 221) = ( 561 x 221 ) / 7293
GCD(561, 221) = 123981 / 7293
GCD(561, 221) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 651) = 11067
GCD(17, 651) = ( 17 x 651 ) / 11067
GCD(17, 651) = 11067 / 11067
GCD(17, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 795) = 795
GCD(1, 795) = ( 1 x 795 ) / 795
GCD(1, 795) = 795 / 795
GCD(1, 795) = 1
GCD of 561, 221, 651, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 221, 651, 795?
GCD of 561, 221, 651, 795 is 1
2. Where do I get the detailed procedure to find GCD of 561, 221, 651, 795?
You can find a detailed procedure to find GCD of 561, 221, 651, 795 on our page.
3. How to find GCD of 561, 221, 651, 795 on a calculator?
You can find the GCD of 561, 221, 651, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.