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 311, 560, 506, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 311, 560, 506, 408 is 1
GCD(311, 560, 506, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 311, 560, 506, 408 is 1
GCD(311, 560, 506, 408) = 1
Given Input numbers are 311, 560, 506, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 311, 560, 506, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 560, 506, 408 is 1.
Therefore, GCD of numbers 311, 560, 506, 408 is 1
Given Input Data is 311, 560, 506, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 311 is 311
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(311, 560) = 174160
GCD(311, 560) = ( 311 x 560 ) / 174160
GCD(311, 560) = 174160 / 174160
GCD(311, 560) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 311, 560, 506, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 311, 560, 506, 408?
GCD of 311, 560, 506, 408 is 1
2. Where do I get the detailed procedure to find GCD of 311, 560, 506, 408?
You can find a detailed procedure to find GCD of 311, 560, 506, 408 on our page.
3. How to find GCD of 311, 560, 506, 408 on a calculator?
You can find the GCD of 311, 560, 506, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.