GCD of 300, 185, 470, 865 Calculator

Given Input numbers are 300, 185, 470, 865

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 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

GCD of numbers is the greatest common divisor

So, the GCD (300, 185, 470, 865) = 5.

Given numbers are 300, 185, 470, 865

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 185 are 5 x 37

Prime factors of 470 are 2 x 5 x 47

Prime factors of 865 are 5 x 173

The highest common occurrence is 5¹

Therefore, GCD of 300, 185, 470, 865 is 5.

Given numbers are 300, 185, 470, 865

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(300, 185) = 11100

GCD(300, 185) = ( 300 x 185 ) / 11100

= 300 / 185

= 300

Step2:

LCM(5, 470) = 470

GCD(5, 470) = ( 5 x 470 ) / 470

= 5 / 470

= 5

Step3:

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

= 5 / 865

= 5

So, Greatest Common Divisor of 300, 185, 470, 865 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 464, 149, 176
• GCD of 174, 596, 959, 686
• GCD of 897, 339, 419, 967
• GCD of 823, 981, 856, 915
• GCD of 793, 994, 139, 111

Given numbers are 300, 185, 470, 865
The greatest common divisor of numbers 300, 185, 470, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 185, 470, 865 is 5.

1. What is the GCD of 300, 185, 470, 865?

GCD of given numbers 300, 185, 470, 865 is 5

2. How to calculate the greatest common divisor of 300, 185, 470, 865?

We can find the highest common divisor of 300, 185, 470, 865 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, 185, 470, 865 i.e 5.

3. How can I use the GCD of 300, 185, 470, 865Calculator?

Out the numbers 300, 185, 470, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.