GCD of 489, 421, 337, 257 Calculator

Given Input numbers are 489, 421, 337, 257

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

GCD of numbers is the greatest common divisor

So, the GCD (489, 421, 337, 257) = 1.

Given numbers are 489, 421, 337, 257

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 421 are 421

Prime factors of 337 are 337

Prime factors of 257 are 257

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

Given numbers are 489, 421, 337, 257

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

Apply this formula for all numbers.

Step1:

LCM(489, 421) = 205869

GCD(489, 421) = ( 489 x 421 ) / 205869

= 489 / 421

= 489

Step2:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1

Step3:

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

= 1 / 257

= 1

So, Greatest Common Divisor of 489, 421, 337, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 337, 354, 754
• GCD of 893, 569, 673, 782
• GCD of 459, 461, 253, 222
• GCD of 981, 968, 759, 576
• GCD of 975, 542, 644, 708

Given numbers are 489, 421, 337, 257
The greatest common divisor of numbers 489, 421, 337, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 421, 337, 257 is 1.

1. What is the GCD of 489, 421, 337, 257?

GCD of given numbers 489, 421, 337, 257 is 1

2. How to calculate the greatest common divisor of 489, 421, 337, 257?

We can find the highest common divisor of 489, 421, 337, 257 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, 421, 337, 257 i.e 1.

3. How can I use the GCD of 489, 421, 337, 257Calculator?

Out the numbers 489, 421, 337, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.