GCD of 144, 716, 475, 489 Calculator

Given Input numbers are 144, 716, 475, 489

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (144, 716, 475, 489) = 1.

Given numbers are 144, 716, 475, 489

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 716 are 2 x 2 x 179

Prime factors of 475 are 5 x 5 x 19

Prime factors of 489 are 3 x 163

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

Given numbers are 144, 716, 475, 489

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

Apply this formula for all numbers.

Step1:

LCM(144, 716) = 25776

GCD(144, 716) = ( 144 x 716 ) / 25776

= 144 / 716

= 144

Step2:

LCM(4, 475) = 1900

GCD(4, 475) = ( 4 x 475 ) / 1900

= 4 / 475

= 4

Step3:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

So, Greatest Common Divisor of 144, 716, 475, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 245, 446, 643
• GCD of 881, 568, 706, 596
• GCD of 256, 749, 129, 333
• GCD of 376, 391, 747, 810
• GCD of 202, 231, 710, 843

Given numbers are 144, 716, 475, 489
The greatest common divisor of numbers 144, 716, 475, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 716, 475, 489 is 1.

1. What is the GCD of 144, 716, 475, 489?

GCD of given numbers 144, 716, 475, 489 is 1

2. How to calculate the greatest common divisor of 144, 716, 475, 489?

We can find the highest common divisor of 144, 716, 475, 489 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, 716, 475, 489 i.e 1.

3. How can I use the GCD of 144, 716, 475, 489Calculator?

Out the numbers 144, 716, 475, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.