GCD of 432, 810, 130, 314 Calculator

Given Input numbers are 432, 810, 130, 314

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 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (432, 810, 130, 314) = 2.

Given numbers are 432, 810, 130, 314

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 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 130 are 2 x 5 x 13

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 432, 810, 130, 314 is 2.

Given numbers are 432, 810, 130, 314

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

Apply this formula for all numbers.

Step1:

LCM(432, 810) = 6480

GCD(432, 810) = ( 432 x 810 ) / 6480

= 432 / 810

= 432

Step2:

LCM(54, 130) = 3510

GCD(54, 130) = ( 54 x 130 ) / 3510

= 54 / 130

= 54

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 432, 810, 130, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 332, 298, 202
• GCD of 956, 647, 359, 356
• GCD of 204, 358, 361, 916
• GCD of 853, 204, 491, 196
• GCD of 469, 141, 158, 998

Given numbers are 432, 810, 130, 314
The greatest common divisor of numbers 432, 810, 130, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 810, 130, 314 is 2.

1. What is the GCD of 432, 810, 130, 314?

GCD of given numbers 432, 810, 130, 314 is 2

2. How to calculate the greatest common divisor of 432, 810, 130, 314?

We can find the highest common divisor of 432, 810, 130, 314 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, 810, 130, 314 i.e 2.

3. How can I use the GCD of 432, 810, 130, 314Calculator?

Out the numbers 432, 810, 130, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.