GCD of 380, 210, 660, 306 Calculator

Given Input numbers are 380, 210, 660, 306

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 (380, 210, 660, 306) = 2.

Given numbers are 380, 210, 660, 306

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 380, 210, 660, 306 is 2.

Given numbers are 380, 210, 660, 306

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

Apply this formula for all numbers.

Step1:

LCM(380, 210) = 7980

GCD(380, 210) = ( 380 x 210 ) / 7980

= 380 / 210

= 380

Step2:

LCM(10, 660) = 660

GCD(10, 660) = ( 10 x 660 ) / 660

= 10 / 660

= 10

Step3:

LCM(10, 306) = 1530

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

= 10 / 306

= 10

So, Greatest Common Divisor of 380, 210, 660, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 545, 163, 890
• GCD of 609, 822, 915, 270
• GCD of 583, 885, 861, 825
• GCD of 727, 246, 887, 148
• GCD of 156, 285, 764, 568

Given numbers are 380, 210, 660, 306
The greatest common divisor of numbers 380, 210, 660, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 210, 660, 306 is 2.

1. What is the GCD of 380, 210, 660, 306?

GCD of given numbers 380, 210, 660, 306 is 2

2. How to calculate the greatest common divisor of 380, 210, 660, 306?

We can find the highest common divisor of 380, 210, 660, 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 380, 210, 660, 306 i.e 2.

3. How can I use the GCD of 380, 210, 660, 306Calculator?

Out the numbers 380, 210, 660, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.