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, 399, 22, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 399, 22, 701 is 1
GCD(221, 399, 22, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 399, 22, 701 is 1
GCD(221, 399, 22, 701) = 1
Given Input numbers are 221, 399, 22, 701
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 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 221, 399, 22, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 399, 22, 701 is 1.
Therefore, GCD of numbers 221, 399, 22, 701 is 1
Given Input Data is 221, 399, 22, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 22 is 2 x 11
Prime Factorization of 701 is 701
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, 399) = 88179
GCD(221, 399) = ( 221 x 399 ) / 88179
GCD(221, 399) = 88179 / 88179
GCD(221, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 221, 399, 22, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 399, 22, 701?
GCD of 221, 399, 22, 701 is 1
2. Where do I get the detailed procedure to find GCD of 221, 399, 22, 701?
You can find a detailed procedure to find GCD of 221, 399, 22, 701 on our page.
3. How to find GCD of 221, 399, 22, 701 on a calculator?
You can find the GCD of 221, 399, 22, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.