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, 353, 51, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 353, 51, 125 is 1
GCD(520, 353, 51, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 353, 51, 125 is 1
GCD(520, 353, 51, 125) = 1
Given Input numbers are 520, 353, 51, 125
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 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 520, 353, 51, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 353, 51, 125 is 1.
Therefore, GCD of numbers 520, 353, 51, 125 is 1
Given Input Data is 520, 353, 51, 125
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 353 is 353
Prime Factorization of 51 is 3 x 17
Prime Factorization of 125 is 5 x 5 x 5
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, 353) = 183560
GCD(520, 353) = ( 520 x 353 ) / 183560
GCD(520, 353) = 183560 / 183560
GCD(520, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 520, 353, 51, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 353, 51, 125?
GCD of 520, 353, 51, 125 is 1
2. Where do I get the detailed procedure to find GCD of 520, 353, 51, 125?
You can find a detailed procedure to find GCD of 520, 353, 51, 125 on our page.
3. How to find GCD of 520, 353, 51, 125 on a calculator?
You can find the GCD of 520, 353, 51, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.