Online GCD Calculator is useful to find the GCD of 520, 600, 505 quickly. Get the easiest ways to solve the greatest common divisor of 520, 600, 505 i.e 5 in different methods as follows.
Given Input numbers are 520, 600, 505
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
GCD of numbers is the greatest common divisor
So, the GCD (520, 600, 505) = 5.
Given numbers are 520, 600, 505
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 505 are 5 x 101
The highest common occurrence is 51
Therefore, GCD of 520, 600, 505 is 5.
Given numbers are 520, 600, 505
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 600) = 7800
GCD(520, 600) = ( 520 x 600 ) / 7800
= 520 / 600
= 520
Step2:
LCM(40, 505) = 4040
GCD(40, 505) = ( 40 x 505 ) / 4040
= 40 / 505
= 40
So, Greatest Common Divisor of 520, 600, 505 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 600, 505
The greatest common divisor of numbers 520, 600, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 600, 505 is 5.
1. What is the GCD of 520, 600, 505?
GCD of given numbers 520, 600, 505 is 5
2. How to calculate the greatest common divisor of 520, 600, 505?
We can find the highest common divisor of 520, 600, 505 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 520, 600, 505 i.e 5.
3. How can I use the GCD of 520, 600, 505Calculator?
Out the numbers 520, 600, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.