GCD of 144, 480, 375, 109 Calculator

Given Input numbers are 144, 480, 375, 109

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (144, 480, 375, 109) = 1.

Given numbers are 144, 480, 375, 109

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 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 109 are 109

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

Given numbers are 144, 480, 375, 109

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

Apply this formula for all numbers.

Step1:

LCM(144, 480) = 1440

GCD(144, 480) = ( 144 x 480 ) / 1440

= 144 / 480

= 144

Step2:

LCM(48, 375) = 6000

GCD(48, 375) = ( 48 x 375 ) / 6000

= 48 / 375

= 48

Step3:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

So, Greatest Common Divisor of 144, 480, 375, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 348, 674, 561
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• GCD of 854, 577, 411, 193

Given numbers are 144, 480, 375, 109
The greatest common divisor of numbers 144, 480, 375, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 480, 375, 109 is 1.

1. What is the GCD of 144, 480, 375, 109?

GCD of given numbers 144, 480, 375, 109 is 1

2. How to calculate the greatest common divisor of 144, 480, 375, 109?

We can find the highest common divisor of 144, 480, 375, 109 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, 480, 375, 109 i.e 1.

3. How can I use the GCD of 144, 480, 375, 109Calculator?

Out the numbers 144, 480, 375, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.