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 349, 480, 12, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 480, 12, 621 is 1
GCD(349, 480, 12, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 480, 12, 621 is 1
GCD(349, 480, 12, 621) = 1
Given Input numbers are 349, 480, 12, 621
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 349, 480, 12, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 480, 12, 621 is 1.
Therefore, GCD of numbers 349, 480, 12, 621 is 1
Given Input Data is 349, 480, 12, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 621 is 3 x 3 x 3 x 23
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(349, 480) = 167520
GCD(349, 480) = ( 349 x 480 ) / 167520
GCD(349, 480) = 167520 / 167520
GCD(349, 480) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 349, 480, 12, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 480, 12, 621?
GCD of 349, 480, 12, 621 is 1
2. Where do I get the detailed procedure to find GCD of 349, 480, 12, 621?
You can find a detailed procedure to find GCD of 349, 480, 12, 621 on our page.
3. How to find GCD of 349, 480, 12, 621 on a calculator?
You can find the GCD of 349, 480, 12, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.