GCD of 520, 480, 575 Calculator
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, 480, 575 i.e. 5 largest integer that divides all the numbers equally.
GCD of 520, 480, 575 is 5
GCD(520, 480, 575) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 480, 575 is 5
GCD(520, 480, 575) = 5
GCDof 520,480,575 is 5
Given Input numbers are 520, 480, 575
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 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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 520, 480, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 480, 575 is 5.
Therefore, GCD of numbers 520, 480, 575 is 5
Given Input Data is 520, 480, 575
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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 575 is 5 x 5 x 23
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 520, 480, 575 using LCM Formula
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, 480) = 6240
GCD(520, 480) = ( 520 x 480 ) / 6240
GCD(520, 480) = 249600 / 6240
GCD(520, 480) = 40
Step2:
Here we consider the GCD from the above i.e. 40 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(40, 575) = 4600
GCD(40, 575) = ( 40 x 575 ) / 4600
GCD(40, 575) = 23000 / 4600
GCD(40, 575) = 5
GCD of 520, 480, 575 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 520, 480, 575
1. What is the GCD of 520, 480, 575?
GCD of 520, 480, 575 is 5
2. Where do I get the detailed procedure to find GCD of 520, 480, 575?
You can find a detailed procedure to find GCD of 520, 480, 575 on our page.
3. How to find GCD of 520, 480, 575 on a calculator?
You can find the GCD of 520, 480, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.