GCD of 489, 398, 343, 180 Calculator

Given Input numbers are 489, 398, 343, 180

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

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (489, 398, 343, 180) = 1.

Given numbers are 489, 398, 343, 180

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 398 are 2 x 199

Prime factors of 343 are 7 x 7 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 489, 398, 343, 180

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

Apply this formula for all numbers.

Step1:

LCM(489, 398) = 194622

GCD(489, 398) = ( 489 x 398 ) / 194622

= 489 / 398

= 489

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 489, 398, 343, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 687, 271, 636
• GCD of 347, 641, 758, 849
• GCD of 761, 124, 685, 642
• GCD of 558, 833, 268, 353
• GCD of 845, 469, 146, 609

Given numbers are 489, 398, 343, 180
The greatest common divisor of numbers 489, 398, 343, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 398, 343, 180 is 1.

1. What is the GCD of 489, 398, 343, 180?

GCD of given numbers 489, 398, 343, 180 is 1

2. How to calculate the greatest common divisor of 489, 398, 343, 180?

We can find the highest common divisor of 489, 398, 343, 180 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 489, 398, 343, 180 i.e 1.

3. How can I use the GCD of 489, 398, 343, 180Calculator?

Out the numbers 489, 398, 343, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.