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 60, 440, 885, 520 i.e. 5 largest integer that divides all the numbers equally.
GCD of 60, 440, 885, 520 is 5
GCD(60, 440, 885, 520) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 440, 885, 520 is 5
GCD(60, 440, 885, 520) = 5
Given Input numbers are 60, 440, 885, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
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 60, 440, 885, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 440, 885, 520 is 5.
Therefore, GCD of numbers 60, 440, 885, 520 is 5
Given Input Data is 60, 440, 885, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 885 is 3 x 5 x 59
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(60, 440) = 1320
GCD(60, 440) = ( 60 x 440 ) / 1320
GCD(60, 440) = 26400 / 1320
GCD(60, 440) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 885) = 3540
GCD(20, 885) = ( 20 x 885 ) / 3540
GCD(20, 885) = 17700 / 3540
GCD(20, 885) = 5
Step3:
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 60, 440, 885, 520 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 440, 885, 520?
GCD of 60, 440, 885, 520 is 5
2. Where do I get the detailed procedure to find GCD of 60, 440, 885, 520?
You can find a detailed procedure to find GCD of 60, 440, 885, 520 on our page.
3. How to find GCD of 60, 440, 885, 520 on a calculator?
You can find the GCD of 60, 440, 885, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.