GCD of 420, 284, 384, 378 Calculator

Given Input numbers are 420, 284, 384, 378

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

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 284, 384, 378) = 2.

Given numbers are 420, 284, 384, 378

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 420, 284, 384, 378 is 2.

Given numbers are 420, 284, 384, 378

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

Apply this formula for all numbers.

Step1:

LCM(420, 284) = 29820

GCD(420, 284) = ( 420 x 284 ) / 29820

= 420 / 284

= 420

Step2:

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

= 4 / 384

= 4

Step3:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4

So, Greatest Common Divisor of 420, 284, 384, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 381, 647, 778
• GCD of 599, 679, 690, 683
• GCD of 380, 738, 578, 889
• GCD of 817, 953, 753, 857
• GCD of 719, 261, 451, 701

Given numbers are 420, 284, 384, 378
The greatest common divisor of numbers 420, 284, 384, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 284, 384, 378 is 2.

1. What is the GCD of 420, 284, 384, 378?

GCD of given numbers 420, 284, 384, 378 is 2

2. How to calculate the greatest common divisor of 420, 284, 384, 378?

We can find the highest common divisor of 420, 284, 384, 378 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 420, 284, 384, 378 i.e 2.

3. How can I use the GCD of 420, 284, 384, 378Calculator?

Out the numbers 420, 284, 384, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.