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, 279, 67, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 279, 67, 703 is 1
GCD(221, 279, 67, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 279, 67, 703 is 1
GCD(221, 279, 67, 703) = 1
Given Input numbers are 221, 279, 67, 703
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 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 221, 279, 67, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 279, 67, 703 is 1.
Therefore, GCD of numbers 221, 279, 67, 703 is 1
Given Input Data is 221, 279, 67, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 67 is 67
Prime Factorization of 703 is 19 x 37
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, 279) = 61659
GCD(221, 279) = ( 221 x 279 ) / 61659
GCD(221, 279) = 61659 / 61659
GCD(221, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 221, 279, 67, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 279, 67, 703?
GCD of 221, 279, 67, 703 is 1
2. Where do I get the detailed procedure to find GCD of 221, 279, 67, 703?
You can find a detailed procedure to find GCD of 221, 279, 67, 703 on our page.
3. How to find GCD of 221, 279, 67, 703 on a calculator?
You can find the GCD of 221, 279, 67, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.