GCD of 144, 384, 964, 575 Calculator

Given Input numbers are 144, 384, 964, 575

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

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (144, 384, 964, 575) = 1.

Given numbers are 144, 384, 964, 575

The list of prime factors of all numbers are

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 964 are 2 x 2 x 241

Prime factors of 575 are 5 x 5 x 23

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

Given numbers are 144, 384, 964, 575

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

Apply this formula for all numbers.

Step1:

LCM(144, 384) = 1152

GCD(144, 384) = ( 144 x 384 ) / 1152

= 144 / 384

= 144

Step2:

LCM(48, 964) = 11568

GCD(48, 964) = ( 48 x 964 ) / 11568

= 48 / 964

= 48

Step3:

LCM(4, 575) = 2300

GCD(4, 575) = ( 4 x 575 ) / 2300

= 4 / 575

= 4

So, Greatest Common Divisor of 144, 384, 964, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 989, 359, 336
• GCD of 700, 149, 618, 292
• GCD of 997, 513, 518, 415
• GCD of 910, 733, 465, 773
• GCD of 655, 333, 439, 979

Given numbers are 144, 384, 964, 575
The greatest common divisor of numbers 144, 384, 964, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 384, 964, 575 is 1.

1. What is the GCD of 144, 384, 964, 575?

GCD of given numbers 144, 384, 964, 575 is 1

2. How to calculate the greatest common divisor of 144, 384, 964, 575?

We can find the highest common divisor of 144, 384, 964, 575 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 144, 384, 964, 575 i.e 1.

3. How can I use the GCD of 144, 384, 964, 575Calculator?

Out the numbers 144, 384, 964, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.