GCD of 642, 714, 330 Calculator

Given Input numbers are 642, 714, 330

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 (642, 714, 330) = 6.

Given numbers are 642, 714, 330

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 714 are 2 x 3 x 7 x 17

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 642, 714, 330 is 6.

Given numbers are 642, 714, 330

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

Apply this formula for all numbers.

Step1:

LCM(642, 714) = 76398

GCD(642, 714) = ( 642 x 714 ) / 76398

= 642 / 714

= 642

Step2:

LCM(6, 330) = 330

GCD(6, 330) = ( 6 x 330 ) / 330

= 6 / 330

= 6

So, Greatest Common Divisor of 642, 714, 330 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 241, 659
• GCD of 127, 222, 313
• GCD of 782, 901, 400
• GCD of 330, 494, 909
• GCD of 735, 744, 371

Given numbers are 642, 714, 330
The greatest common divisor of numbers 642, 714, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 714, 330 is 6.

1. What is the GCD of 642, 714, 330?

GCD of given numbers 642, 714, 330 is 6

2. How to calculate the greatest common divisor of 642, 714, 330?

We can find the highest common divisor of 642, 714, 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 642, 714, 330 i.e 6.

3. How can I use the GCD of 642, 714, 330Calculator?

Out the numbers 642, 714, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.