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, 366, 98, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 366, 98, 563 is 1
GCD(561, 366, 98, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 366, 98, 563 is 1
GCD(561, 366, 98, 563) = 1
Given Input numbers are 561, 366, 98, 563
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 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 561, 366, 98, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 366, 98, 563 is 1.
Therefore, GCD of numbers 561, 366, 98, 563 is 1
Given Input Data is 561, 366, 98, 563
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 366 is 2 x 3 x 61
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 563 is 563
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, 366) = 68442
GCD(561, 366) = ( 561 x 366 ) / 68442
GCD(561, 366) = 205326 / 68442
GCD(561, 366) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 561, 366, 98, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 366, 98, 563?
GCD of 561, 366, 98, 563 is 1
2. Where do I get the detailed procedure to find GCD of 561, 366, 98, 563?
You can find a detailed procedure to find GCD of 561, 366, 98, 563 on our page.
3. How to find GCD of 561, 366, 98, 563 on a calculator?
You can find the GCD of 561, 366, 98, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.