GCD of 144, 964, 372, 192 Calculator

Given Input numbers are 144, 964, 372, 192

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 964 :

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

1, 2, 4, 241, 482, 964

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (144, 964, 372, 192) = 4.

Given numbers are 144, 964, 372, 192

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 964 are 2 x 2 x 241

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 144, 964, 372, 192 is 4.

Given numbers are 144, 964, 372, 192

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

Apply this formula for all numbers.

Step1:

LCM(144, 964) = 34704

GCD(144, 964) = ( 144 x 964 ) / 34704

= 144 / 964

= 144

Step2:

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

= 4 / 372

= 4

Step3:

LCM(4, 192) = 192

GCD(4, 192) = ( 4 x 192 ) / 192

= 4 / 192

= 4

So, Greatest Common Divisor of 144, 964, 372, 192 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 685, 282, 556
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Given numbers are 144, 964, 372, 192
The greatest common divisor of numbers 144, 964, 372, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 964, 372, 192 is 4.

1. What is the GCD of 144, 964, 372, 192?

GCD of given numbers 144, 964, 372, 192 is 4

2. How to calculate the greatest common divisor of 144, 964, 372, 192?

We can find the highest common divisor of 144, 964, 372, 192 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, 964, 372, 192 i.e 4.

3. How can I use the GCD of 144, 964, 372, 192Calculator?

Out the numbers 144, 964, 372, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.