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 496, 320, 52, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 320, 52, 511 is 1
GCD(496, 320, 52, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 320, 52, 511 is 1
GCD(496, 320, 52, 511) = 1
Given Input numbers are 496, 320, 52, 511
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 496, 320, 52, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 320, 52, 511 is 1.
Therefore, GCD of numbers 496, 320, 52, 511 is 1
Given Input Data is 496, 320, 52, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 511 is 7 x 73
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(496, 320) = 9920
GCD(496, 320) = ( 496 x 320 ) / 9920
GCD(496, 320) = 158720 / 9920
GCD(496, 320) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 52) = 208
GCD(16, 52) = ( 16 x 52 ) / 208
GCD(16, 52) = 832 / 208
GCD(16, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 511) = 2044
GCD(4, 511) = ( 4 x 511 ) / 2044
GCD(4, 511) = 2044 / 2044
GCD(4, 511) = 1
GCD of 496, 320, 52, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 320, 52, 511?
GCD of 496, 320, 52, 511 is 1
2. Where do I get the detailed procedure to find GCD of 496, 320, 52, 511?
You can find a detailed procedure to find GCD of 496, 320, 52, 511 on our page.
3. How to find GCD of 496, 320, 52, 511 on a calculator?
You can find the GCD of 496, 320, 52, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.