GCD of 144, 329, 210, 112 Calculator

Given Input numbers are 144, 329, 210, 112

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 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (144, 329, 210, 112) = 1.

Given numbers are 144, 329, 210, 112

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 329 are 7 x 47

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 144, 329, 210, 112

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

Apply this formula for all numbers.

Step1:

LCM(144, 329) = 47376

GCD(144, 329) = ( 144 x 329 ) / 47376

= 144 / 329

= 144

Step2:

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

= 1 / 210

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 144, 329, 210, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 731, 873, 305
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Given numbers are 144, 329, 210, 112
The greatest common divisor of numbers 144, 329, 210, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 329, 210, 112 is 1.

1. What is the GCD of 144, 329, 210, 112?

GCD of given numbers 144, 329, 210, 112 is 1

2. How to calculate the greatest common divisor of 144, 329, 210, 112?

We can find the highest common divisor of 144, 329, 210, 112 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, 329, 210, 112 i.e 1.

3. How can I use the GCD of 144, 329, 210, 112Calculator?

Out the numbers 144, 329, 210, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.