GCD of 104, 462, 146, 306 Calculator

Given Input numbers are 104, 462, 146, 306

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 146 :

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

1, 2, 73, 146

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (104, 462, 146, 306) = 2.

Given numbers are 104, 462, 146, 306

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 146 are 2 x 73

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 104, 462, 146, 306 is 2.

Given numbers are 104, 462, 146, 306

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

Apply this formula for all numbers.

Step1:

LCM(104, 462) = 24024

GCD(104, 462) = ( 104 x 462 ) / 24024

= 104 / 462

= 104

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 104, 462, 146, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 765, 611, 889
• GCD of 877, 304, 299, 978
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• GCD of 431, 730, 281, 167

Given numbers are 104, 462, 146, 306
The greatest common divisor of numbers 104, 462, 146, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 462, 146, 306 is 2.

1. What is the GCD of 104, 462, 146, 306?

GCD of given numbers 104, 462, 146, 306 is 2

2. How to calculate the greatest common divisor of 104, 462, 146, 306?

We can find the highest common divisor of 104, 462, 146, 306 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 104, 462, 146, 306 i.e 2.

3. How can I use the GCD of 104, 462, 146, 306Calculator?

Out the numbers 104, 462, 146, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.