Online GCD Calculator is useful to find the GCD of 300, 590, 755, 520 quickly. Get the easiest ways to solve the greatest common divisor of 300, 590, 755, 520 i.e 5 in different methods as follows.
Given Input numbers are 300, 590, 755, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
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
GCD of numbers is the greatest common divisor
So, the GCD (300, 590, 755, 520) = 5.
Given numbers are 300, 590, 755, 520
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 590 are 2 x 5 x 59
Prime factors of 755 are 5 x 151
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 51
Therefore, GCD of 300, 590, 755, 520 is 5.
Given numbers are 300, 590, 755, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 590) = 17700
GCD(300, 590) = ( 300 x 590 ) / 17700
= 300 / 590
= 300
Step2:
LCM(10, 755) = 1510
GCD(10, 755) = ( 10 x 755 ) / 1510
= 10 / 755
= 10
Step3:
LCM(5, 520) = 520
GCD(5, 520) = ( 5 x 520 ) / 520
= 5 / 520
= 5
So, Greatest Common Divisor of 300, 590, 755, 520 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 590, 755, 520
The greatest common divisor of numbers 300, 590, 755, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 590, 755, 520 is 5.
1. What is the GCD of 300, 590, 755, 520?
GCD of given numbers 300, 590, 755, 520 is 5
2. How to calculate the greatest common divisor of 300, 590, 755, 520?
We can find the highest common divisor of 300, 590, 755, 520 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 300, 590, 755, 520 i.e 5.
3. How can I use the GCD of 300, 590, 755, 520Calculator?
Out the numbers 300, 590, 755, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.