GCD of 395, 271, 348, 144 Calculator

Given Input numbers are 395, 271, 348, 144

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

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 (395, 271, 348, 144) = 1.

Given numbers are 395, 271, 348, 144

The list of prime factors of all numbers are

Prime factors of 395 are 5 x 79

Prime factors of 271 are 271

Prime factors of 348 are 2 x 2 x 3 x 29

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 395, 271, 348, 144

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

Apply this formula for all numbers.

Step1:

LCM(395, 271) = 107045

GCD(395, 271) = ( 395 x 271 ) / 107045

= 395 / 271

= 395

Step2:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

Step3:

LCM(1, 144) = 144

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

= 1 / 144

= 1

So, Greatest Common Divisor of 395, 271, 348, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 828, 250, 300
• GCD of 731, 339, 974, 838
• GCD of 285, 500, 788, 470
• GCD of 643, 867, 769, 994
• GCD of 253, 399, 343, 475

Given numbers are 395, 271, 348, 144
The greatest common divisor of numbers 395, 271, 348, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 395, 271, 348, 144 is 1.

1. What is the GCD of 395, 271, 348, 144?

GCD of given numbers 395, 271, 348, 144 is 1

2. How to calculate the greatest common divisor of 395, 271, 348, 144?

We can find the highest common divisor of 395, 271, 348, 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 395, 271, 348, 144 i.e 1.

3. How can I use the GCD of 395, 271, 348, 144Calculator?

Out the numbers 395, 271, 348, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.