Online GCD Calculator is useful to find the GCD of 520, 270, 180 quickly. Get the easiest ways to solve the greatest common divisor of 520, 270, 180 i.e 10 in different methods as follows.
Given Input numbers are 520, 270, 180
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (520, 270, 180) = 10.
Given numbers are 520, 270, 180
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 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 520, 270, 180 is 10.
Given numbers are 520, 270, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 270) = 14040
GCD(520, 270) = ( 520 x 270 ) / 14040
= 520 / 270
= 520
Step2:
LCM(10, 180) = 180
GCD(10, 180) = ( 10 x 180 ) / 180
= 10 / 180
= 10
So, Greatest Common Divisor of 520, 270, 180 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 270, 180
The greatest common divisor of numbers 520, 270, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 270, 180 is 10.
1. What is the GCD of 520, 270, 180?
GCD of given numbers 520, 270, 180 is 10
2. How to calculate the greatest common divisor of 520, 270, 180?
We can find the highest common divisor of 520, 270, 180 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, 270, 180 i.e 10.
3. How can I use the GCD of 520, 270, 180Calculator?
Out the numbers 520, 270, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.