GCD of 106, 329, 612, 144 Calculator

Given Input numbers are 106, 329, 612, 144

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 329 :

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

1, 7, 47, 329

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

GCD of numbers is the greatest common divisor

So, the GCD (106, 329, 612, 144) = 1.

Given numbers are 106, 329, 612, 144

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 329 are 7 x 47

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

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

Given numbers are 106, 329, 612, 144

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

Apply this formula for all numbers.

Step1:

LCM(106, 329) = 34874

GCD(106, 329) = ( 106 x 329 ) / 34874

= 106 / 329

= 106

Step2:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 106, 329, 612, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 500, 535, 458
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Given numbers are 106, 329, 612, 144
The greatest common divisor of numbers 106, 329, 612, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 329, 612, 144 is 1.

1. What is the GCD of 106, 329, 612, 144?

GCD of given numbers 106, 329, 612, 144 is 1

2. How to calculate the greatest common divisor of 106, 329, 612, 144?

We can find the highest common divisor of 106, 329, 612, 144 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 106, 329, 612, 144 i.e 1.

3. How can I use the GCD of 106, 329, 612, 144Calculator?

Out the numbers 106, 329, 612, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.