GCD of 432, 144, 305, 957 Calculator

Given Input numbers are 432, 144, 305, 957

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 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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (432, 144, 305, 957) = 1.

Given numbers are 432, 144, 305, 957

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 305 are 5 x 61

Prime factors of 957 are 3 x 11 x 29

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

Given numbers are 432, 144, 305, 957

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

Apply this formula for all numbers.

Step1:

LCM(432, 144) = 432

GCD(432, 144) = ( 432 x 144 ) / 432

= 432 / 144

= 432

Step2:

LCM(144, 305) = 43920

GCD(144, 305) = ( 144 x 305 ) / 43920

= 144 / 305

= 144

Step3:

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

= 1 / 957

= 1

So, Greatest Common Divisor of 432, 144, 305, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 255, 685, 682
• GCD of 636, 442, 617, 192
• GCD of 666, 496, 481, 928
• GCD of 769, 472, 786, 807
• GCD of 198, 640, 364, 356

Given numbers are 432, 144, 305, 957
The greatest common divisor of numbers 432, 144, 305, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 144, 305, 957 is 1.

1. What is the GCD of 432, 144, 305, 957?

GCD of given numbers 432, 144, 305, 957 is 1

2. How to calculate the greatest common divisor of 432, 144, 305, 957?

We can find the highest common divisor of 432, 144, 305, 957 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, 144, 305, 957 i.e 1.

3. How can I use the GCD of 432, 144, 305, 957Calculator?

Out the numbers 432, 144, 305, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.