GCD of 654, 210, 214, 330 Calculator

Given Input numbers are 654, 210, 214, 330

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (654, 210, 214, 330) = 2.

Given numbers are 654, 210, 214, 330

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 214 are 2 x 107

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 654, 210, 214, 330 is 2.

Given numbers are 654, 210, 214, 330

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

Apply this formula for all numbers.

Step1:

LCM(654, 210) = 22890

GCD(654, 210) = ( 654 x 210 ) / 22890

= 654 / 210

= 654

Step2:

LCM(6, 214) = 642

GCD(6, 214) = ( 6 x 214 ) / 642

= 6 / 214

= 6

Step3:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

So, Greatest Common Divisor of 654, 210, 214, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 750, 954, 855
• GCD of 605, 128, 360, 520
• GCD of 835, 797, 869, 139
• GCD of 159, 134, 153, 387
• GCD of 612, 492, 808, 982

Given numbers are 654, 210, 214, 330
The greatest common divisor of numbers 654, 210, 214, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 210, 214, 330 is 2.

1. What is the GCD of 654, 210, 214, 330?

GCD of given numbers 654, 210, 214, 330 is 2

2. How to calculate the greatest common divisor of 654, 210, 214, 330?

We can find the highest common divisor of 654, 210, 214, 330 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 654, 210, 214, 330 i.e 2.

3. How can I use the GCD of 654, 210, 214, 330Calculator?

Out the numbers 654, 210, 214, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.