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 221, 563, 313, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 563, 313, 154 is 1
GCD(221, 563, 313, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 563, 313, 154 is 1
GCD(221, 563, 313, 154) = 1
Given Input numbers are 221, 563, 313, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 221, 563, 313, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 563, 313, 154 is 1.
Therefore, GCD of numbers 221, 563, 313, 154 is 1
Given Input Data is 221, 563, 313, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 563 is 563
Prime Factorization of 313 is 313
Prime Factorization of 154 is 2 x 7 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(221, 563) = 124423
GCD(221, 563) = ( 221 x 563 ) / 124423
GCD(221, 563) = 124423 / 124423
GCD(221, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 221, 563, 313, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 563, 313, 154?
GCD of 221, 563, 313, 154 is 1
2. Where do I get the detailed procedure to find GCD of 221, 563, 313, 154?
You can find a detailed procedure to find GCD of 221, 563, 313, 154 on our page.
3. How to find GCD of 221, 563, 313, 154 on a calculator?
You can find the GCD of 221, 563, 313, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.