Online GCD Calculator is useful to find the GCD of 520, 470, 320 quickly. Get the easiest ways to solve the greatest common divisor of 520, 470, 320 i.e 10 in different methods as follows.
Given Input numbers are 520, 470, 320
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 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (520, 470, 320) = 10.
Given numbers are 520, 470, 320
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 470 are 2 x 5 x 47
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 520, 470, 320 is 10.
Given numbers are 520, 470, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 470) = 24440
GCD(520, 470) = ( 520 x 470 ) / 24440
= 520 / 470
= 520
Step2:
LCM(10, 320) = 320
GCD(10, 320) = ( 10 x 320 ) / 320
= 10 / 320
= 10
So, Greatest Common Divisor of 520, 470, 320 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 470, 320
The greatest common divisor of numbers 520, 470, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 470, 320 is 10.
1. What is the GCD of 520, 470, 320?
GCD of given numbers 520, 470, 320 is 10
2. How to calculate the greatest common divisor of 520, 470, 320?
We can find the highest common divisor of 520, 470, 320 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, 470, 320 i.e 10.
3. How can I use the GCD of 520, 470, 320Calculator?
Out the numbers 520, 470, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.