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 384, 620, 176, 611 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 620, 176, 611 is 1
GCD(384, 620, 176, 611) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 620, 176, 611 is 1
GCD(384, 620, 176, 611) = 1
Given Input numbers are 384, 620, 176, 611
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Greatest Common Divisior
We found the divisors of 384, 620, 176, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 620, 176, 611 is 1.
Therefore, GCD of numbers 384, 620, 176, 611 is 1
Given Input Data is 384, 620, 176, 611
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 611 is 13 x 47
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(384, 620) = 59520
GCD(384, 620) = ( 384 x 620 ) / 59520
GCD(384, 620) = 238080 / 59520
GCD(384, 620) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 176) = 176
GCD(4, 176) = ( 4 x 176 ) / 176
GCD(4, 176) = 704 / 176
GCD(4, 176) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 611) = 2444
GCD(4, 611) = ( 4 x 611 ) / 2444
GCD(4, 611) = 2444 / 2444
GCD(4, 611) = 1
GCD of 384, 620, 176, 611 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 620, 176, 611?
GCD of 384, 620, 176, 611 is 1
2. Where do I get the detailed procedure to find GCD of 384, 620, 176, 611?
You can find a detailed procedure to find GCD of 384, 620, 176, 611 on our page.
3. How to find GCD of 384, 620, 176, 611 on a calculator?
You can find the GCD of 384, 620, 176, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.