Online GCD Calculator is useful to find the GCD of 520, 400, 730 quickly. Get the easiest ways to solve the greatest common divisor of 520, 400, 730 i.e 10 in different methods as follows.
Given Input numbers are 520, 400, 730
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (520, 400, 730) = 10.
Given numbers are 520, 400, 730
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 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 21 x 51
Therefore, GCD of 520, 400, 730 is 10.
Given numbers are 520, 400, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 400) = 5200
GCD(520, 400) = ( 520 x 400 ) / 5200
= 520 / 400
= 520
Step2:
LCM(40, 730) = 2920
GCD(40, 730) = ( 40 x 730 ) / 2920
= 40 / 730
= 40
So, Greatest Common Divisor of 520, 400, 730 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 400, 730
The greatest common divisor of numbers 520, 400, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 400, 730 is 10.
1. What is the GCD of 520, 400, 730?
GCD of given numbers 520, 400, 730 is 10
2. How to calculate the greatest common divisor of 520, 400, 730?
We can find the highest common divisor of 520, 400, 730 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, 400, 730 i.e 10.
3. How can I use the GCD of 520, 400, 730Calculator?
Out the numbers 520, 400, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.