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 445, 140, 520 i.e. 5 largest integer that divides all the numbers equally.
GCD of 445, 140, 520 is 5
GCD(445, 140, 520) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 140, 520 is 5
GCD(445, 140, 520) = 5
Given Input numbers are 445, 140, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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
Greatest Common Divisior
We found the divisors of 445, 140, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 140, 520 is 5.
Therefore, GCD of numbers 445, 140, 520 is 5
Given Input Data is 445, 140, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(445, 140) = 12460
GCD(445, 140) = ( 445 x 140 ) / 12460
GCD(445, 140) = 62300 / 12460
GCD(445, 140) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 520) = 520
GCD(5, 520) = ( 5 x 520 ) / 520
GCD(5, 520) = 2600 / 520
GCD(5, 520) = 5
GCD of 445, 140, 520 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 140, 520?
GCD of 445, 140, 520 is 5
2. Where do I get the detailed procedure to find GCD of 445, 140, 520?
You can find a detailed procedure to find GCD of 445, 140, 520 on our page.
3. How to find GCD of 445, 140, 520 on a calculator?
You can find the GCD of 445, 140, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.