GCD of 144, 214, 916, 165 Calculator

Given Input numbers are 144, 214, 916, 165

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (144, 214, 916, 165) = 1.

Given numbers are 144, 214, 916, 165

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 214 are 2 x 107

Prime factors of 916 are 2 x 2 x 229

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 144, 214, 916, 165

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

Apply this formula for all numbers.

Step1:

LCM(144, 214) = 15408

GCD(144, 214) = ( 144 x 214 ) / 15408

= 144 / 214

= 144

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

So, Greatest Common Divisor of 144, 214, 916, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 739, 886, 489
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Given numbers are 144, 214, 916, 165
The greatest common divisor of numbers 144, 214, 916, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 214, 916, 165 is 1.

1. What is the GCD of 144, 214, 916, 165?

GCD of given numbers 144, 214, 916, 165 is 1

2. How to calculate the greatest common divisor of 144, 214, 916, 165?

We can find the highest common divisor of 144, 214, 916, 165 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, 214, 916, 165 i.e 1.

3. How can I use the GCD of 144, 214, 916, 165Calculator?

Out the numbers 144, 214, 916, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.