GCD of 432, 308, 52, 494 Calculator

Given Input numbers are 432, 308, 52, 494

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (432, 308, 52, 494) = 2.

Given numbers are 432, 308, 52, 494

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 52 are 2 x 2 x 13

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 432, 308, 52, 494 is 2.

Given numbers are 432, 308, 52, 494

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

Apply this formula for all numbers.

Step1:

LCM(432, 308) = 33264

GCD(432, 308) = ( 432 x 308 ) / 33264

= 432 / 308

= 432

Step2:

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

= 4 / 52

= 4

Step3:

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

= 4 / 494

= 4

So, Greatest Common Divisor of 432, 308, 52, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 764, 50, 766
• GCD of 173, 989, 46, 501
• GCD of 778, 651, 60, 308
• GCD of 433, 544, 75, 962
• GCD of 207, 677, 29, 761

Given numbers are 432, 308, 52, 494
The greatest common divisor of numbers 432, 308, 52, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 308, 52, 494 is 2.

1. What is the GCD of 432, 308, 52, 494?

GCD of given numbers 432, 308, 52, 494 is 2

2. How to calculate the greatest common divisor of 432, 308, 52, 494?

We can find the highest common divisor of 432, 308, 52, 494 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 432, 308, 52, 494 i.e 2.

3. How can I use the GCD of 432, 308, 52, 494Calculator?

Out the numbers 432, 308, 52, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.