GCD of 144, 116, 687, 249 Calculator

Given Input numbers are 144, 116, 687, 249

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (144, 116, 687, 249) = 1.

Given numbers are 144, 116, 687, 249

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 116 are 2 x 2 x 29

Prime factors of 687 are 3 x 229

Prime factors of 249 are 3 x 83

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

Given numbers are 144, 116, 687, 249

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

Apply this formula for all numbers.

Step1:

LCM(144, 116) = 4176

GCD(144, 116) = ( 144 x 116 ) / 4176

= 144 / 116

= 144

Step2:

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

= 4 / 687

= 4

Step3:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1

So, Greatest Common Divisor of 144, 116, 687, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 659, 419, 552
• GCD of 705, 436, 418, 900
• GCD of 159, 814, 748, 575
• GCD of 280, 716, 808, 720
• GCD of 223, 273, 849, 900

Given numbers are 144, 116, 687, 249
The greatest common divisor of numbers 144, 116, 687, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 116, 687, 249 is 1.

1. What is the GCD of 144, 116, 687, 249?

GCD of given numbers 144, 116, 687, 249 is 1

2. How to calculate the greatest common divisor of 144, 116, 687, 249?

We can find the highest common divisor of 144, 116, 687, 249 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, 116, 687, 249 i.e 1.

3. How can I use the GCD of 144, 116, 687, 249Calculator?

Out the numbers 144, 116, 687, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.