GCD of 300, 170, 271, 318 Calculator

Given Input numbers are 300, 170, 271, 318

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (300, 170, 271, 318) = 1.

Given numbers are 300, 170, 271, 318

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 170 are 2 x 5 x 17

Prime factors of 271 are 271

Prime factors of 318 are 2 x 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 300, 170, 271, 318

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

Apply this formula for all numbers.

Step1:

LCM(300, 170) = 5100

GCD(300, 170) = ( 300 x 170 ) / 5100

= 300 / 170

= 300

Step2:

LCM(10, 271) = 2710

GCD(10, 271) = ( 10 x 271 ) / 2710

= 10 / 271

= 10

Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

So, Greatest Common Divisor of 300, 170, 271, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 125, 850, 936
• GCD of 505, 303, 535, 328
• GCD of 704, 289, 730, 417
• GCD of 576, 876, 713, 104
• GCD of 248, 963, 490, 843

Given numbers are 300, 170, 271, 318
The greatest common divisor of numbers 300, 170, 271, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 170, 271, 318 is 1.

1. What is the GCD of 300, 170, 271, 318?

GCD of given numbers 300, 170, 271, 318 is 1

2. How to calculate the greatest common divisor of 300, 170, 271, 318?

We can find the highest common divisor of 300, 170, 271, 318 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, 170, 271, 318 i.e 1.

3. How can I use the GCD of 300, 170, 271, 318Calculator?

Out the numbers 300, 170, 271, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.