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 520, 453, 77, 512 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 453, 77, 512 is 1
GCD(520, 453, 77, 512) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 453, 77, 512 is 1
GCD(520, 453, 77, 512) = 1
Given Input numbers are 520, 453, 77, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 520, 453, 77, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 453, 77, 512 is 1.
Therefore, GCD of numbers 520, 453, 77, 512 is 1
Given Input Data is 520, 453, 77, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 453 is 3 x 151
Prime Factorization of 77 is 7 x 11
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(520, 453) = 235560
GCD(520, 453) = ( 520 x 453 ) / 235560
GCD(520, 453) = 235560 / 235560
GCD(520, 453) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
GCD of 520, 453, 77, 512 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 453, 77, 512?
GCD of 520, 453, 77, 512 is 1
2. Where do I get the detailed procedure to find GCD of 520, 453, 77, 512?
You can find a detailed procedure to find GCD of 520, 453, 77, 512 on our page.
3. How to find GCD of 520, 453, 77, 512 on a calculator?
You can find the GCD of 520, 453, 77, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.