GCD of 304, 288, 420, 146 Calculator

Given Input numbers are 304, 288, 420, 146

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (304, 288, 420, 146) = 2.

Given numbers are 304, 288, 420, 146

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 304, 288, 420, 146 is 2.

Given numbers are 304, 288, 420, 146

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

Apply this formula for all numbers.

Step1:

LCM(304, 288) = 5472

GCD(304, 288) = ( 304 x 288 ) / 5472

= 304 / 288

= 304

Step2:

LCM(16, 420) = 1680

GCD(16, 420) = ( 16 x 420 ) / 1680

= 16 / 420

= 16

Step3:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

So, Greatest Common Divisor of 304, 288, 420, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 343, 757, 280
• GCD of 896, 737, 320, 268
• GCD of 975, 845, 983, 422
• GCD of 380, 902, 624, 543
• GCD of 902, 414, 435, 815

Given numbers are 304, 288, 420, 146
The greatest common divisor of numbers 304, 288, 420, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 288, 420, 146 is 2.

1. What is the GCD of 304, 288, 420, 146?

GCD of given numbers 304, 288, 420, 146 is 2

2. How to calculate the greatest common divisor of 304, 288, 420, 146?

We can find the highest common divisor of 304, 288, 420, 146 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 304, 288, 420, 146 i.e 2.

3. How can I use the GCD of 304, 288, 420, 146Calculator?

Out the numbers 304, 288, 420, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.