GCD of 378, 330, 132, 420 Calculator

Given Input numbers are 378, 330, 132, 420

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (378, 330, 132, 420) = 6.

Given numbers are 378, 330, 132, 420

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 378, 330, 132, 420 is 6.

Given numbers are 378, 330, 132, 420

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

Apply this formula for all numbers.

Step1:

LCM(378, 330) = 20790

GCD(378, 330) = ( 378 x 330 ) / 20790

= 378 / 330

= 378

Step2:

LCM(6, 132) = 132

GCD(6, 132) = ( 6 x 132 ) / 132

= 6 / 132

= 6

Step3:

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

So, Greatest Common Divisor of 378, 330, 132, 420 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 366, 620, 387
• GCD of 293, 273, 480, 265
• GCD of 694, 424, 360, 578
• GCD of 803, 594, 690, 163
• GCD of 271, 269, 441, 169

Given numbers are 378, 330, 132, 420
The greatest common divisor of numbers 378, 330, 132, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 330, 132, 420 is 6.

1. What is the GCD of 378, 330, 132, 420?

GCD of given numbers 378, 330, 132, 420 is 6

2. How to calculate the greatest common divisor of 378, 330, 132, 420?

We can find the highest common divisor of 378, 330, 132, 420 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 378, 330, 132, 420 i.e 6.

3. How can I use the GCD of 378, 330, 132, 420Calculator?

Out the numbers 378, 330, 132, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.