GCD of 210, 360, 170, 306 Calculator

Given Input numbers are 210, 360, 170, 306

In the factoring method, we have to find the divisors of all numbers

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 170 :

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

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (210, 360, 170, 306) = 2.

Given numbers are 210, 360, 170, 306

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 170 are 2 x 5 x 17

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 210, 360, 170, 306 is 2.

Given numbers are 210, 360, 170, 306

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

Apply this formula for all numbers.

Step1:

LCM(210, 360) = 2520

GCD(210, 360) = ( 210 x 360 ) / 2520

= 210 / 360

= 210

Step2:

LCM(30, 170) = 510

GCD(30, 170) = ( 30 x 170 ) / 510

= 30 / 170

= 30

Step3:

LCM(10, 306) = 1530

GCD(10, 306) = ( 10 x 306 ) / 1530

= 10 / 306

= 10

So, Greatest Common Divisor of 210, 360, 170, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 564, 195, 736
• GCD of 801, 624, 769, 984
• GCD of 584, 102, 631, 574
• GCD of 139, 593, 782, 218
• GCD of 819, 974, 438, 505

Given numbers are 210, 360, 170, 306
The greatest common divisor of numbers 210, 360, 170, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 360, 170, 306 is 2.

1. What is the GCD of 210, 360, 170, 306?

GCD of given numbers 210, 360, 170, 306 is 2

2. How to calculate the greatest common divisor of 210, 360, 170, 306?

We can find the highest common divisor of 210, 360, 170, 306 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 210, 360, 170, 306 i.e 2.

3. How can I use the GCD of 210, 360, 170, 306Calculator?

Out the numbers 210, 360, 170, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.