GCD of 432, 300, 144, 275 Calculator

Given Input numbers are 432, 300, 144, 275

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

GCD of numbers is the greatest common divisor

So, the GCD (432, 300, 144, 275) = 1.

Given numbers are 432, 300, 144, 275

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 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 275 are 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 432, 300, 144, 275

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

Apply this formula for all numbers.

Step1:

LCM(432, 300) = 10800

GCD(432, 300) = ( 432 x 300 ) / 10800

= 432 / 300

= 432

Step2:

LCM(12, 144) = 144

GCD(12, 144) = ( 12 x 144 ) / 144

= 12 / 144

= 12

Step3:

LCM(12, 275) = 3300

GCD(12, 275) = ( 12 x 275 ) / 3300

= 12 / 275

= 12

So, Greatest Common Divisor of 432, 300, 144, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 994, 266, 976
• GCD of 836, 321, 878, 818
• GCD of 470, 170, 626, 352
• GCD of 953, 108, 923, 535
• GCD of 875, 132, 579, 743

Given numbers are 432, 300, 144, 275
The greatest common divisor of numbers 432, 300, 144, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 300, 144, 275 is 1.

1. What is the GCD of 432, 300, 144, 275?

GCD of given numbers 432, 300, 144, 275 is 1

2. How to calculate the greatest common divisor of 432, 300, 144, 275?

We can find the highest common divisor of 432, 300, 144, 275 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, 300, 144, 275 i.e 1.

3. How can I use the GCD of 432, 300, 144, 275Calculator?

Out the numbers 432, 300, 144, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.