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 223, 207, 349, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 223, 207, 349, 140 is 1
GCD(223, 207, 349, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 223, 207, 349, 140 is 1
GCD(223, 207, 349, 140) = 1
Given Input numbers are 223, 207, 349, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 223, 207, 349, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 207, 349, 140 is 1.
Therefore, GCD of numbers 223, 207, 349, 140 is 1
Given Input Data is 223, 207, 349, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 223 is 223
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 349 is 349
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(223, 207) = 46161
GCD(223, 207) = ( 223 x 207 ) / 46161
GCD(223, 207) = 46161 / 46161
GCD(223, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 223, 207, 349, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 223, 207, 349, 140?
GCD of 223, 207, 349, 140 is 1
2. Where do I get the detailed procedure to find GCD of 223, 207, 349, 140?
You can find a detailed procedure to find GCD of 223, 207, 349, 140 on our page.
3. How to find GCD of 223, 207, 349, 140 on a calculator?
You can find the GCD of 223, 207, 349, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.