Online GCD Calculator is useful to find the GCD of 520, 170, 800 quickly. Get the easiest ways to solve the greatest common divisor of 520, 170, 800 i.e 10 in different methods as follows.
Given Input numbers are 520, 170, 800
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 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (520, 170, 800) = 10.
Given numbers are 520, 170, 800
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 170 are 2 x 5 x 17
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 520, 170, 800 is 10.
Given numbers are 520, 170, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 170) = 8840
GCD(520, 170) = ( 520 x 170 ) / 8840
= 520 / 170
= 520
Step2:
LCM(10, 800) = 800
GCD(10, 800) = ( 10 x 800 ) / 800
= 10 / 800
= 10
So, Greatest Common Divisor of 520, 170, 800 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 170, 800
The greatest common divisor of numbers 520, 170, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 170, 800 is 10.
1. What is the GCD of 520, 170, 800?
GCD of given numbers 520, 170, 800 is 10
2. How to calculate the greatest common divisor of 520, 170, 800?
We can find the highest common divisor of 520, 170, 800 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, 170, 800 i.e 10.
3. How can I use the GCD of 520, 170, 800Calculator?
Out the numbers 520, 170, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.