GCD of 432, 460, 102, 132 Calculator

Given Input numbers are 432, 460, 102, 132

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (432, 460, 102, 132) = 2.

Given numbers are 432, 460, 102, 132

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 460 are 2 x 2 x 5 x 23

Prime factors of 102 are 2 x 3 x 17

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 432, 460, 102, 132 is 2.

Given numbers are 432, 460, 102, 132

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

Apply this formula for all numbers.

Step1:

LCM(432, 460) = 49680

GCD(432, 460) = ( 432 x 460 ) / 49680

= 432 / 460

= 432

Step2:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 432, 460, 102, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 463, 316, 998
• GCD of 843, 385, 248, 169
• GCD of 558, 383, 566, 688
• GCD of 572, 231, 452, 560
• GCD of 720, 775, 501, 980

Given numbers are 432, 460, 102, 132
The greatest common divisor of numbers 432, 460, 102, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 460, 102, 132 is 2.

1. What is the GCD of 432, 460, 102, 132?

GCD of given numbers 432, 460, 102, 132 is 2

2. How to calculate the greatest common divisor of 432, 460, 102, 132?

We can find the highest common divisor of 432, 460, 102, 132 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, 460, 102, 132 i.e 2.

3. How can I use the GCD of 432, 460, 102, 132Calculator?

Out the numbers 432, 460, 102, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.