GCD of 486, 217, 998 Calculator

Given Input numbers are 486, 217, 998

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (486, 217, 998) = 1.

Given numbers are 486, 217, 998

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 217 are 7 x 31

Prime factors of 998 are 2 x 499

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

Given numbers are 486, 217, 998

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

Apply this formula for all numbers.

Step1:

LCM(486, 217) = 105462

GCD(486, 217) = ( 486 x 217 ) / 105462

= 486 / 217

= 486

Step2:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 486, 217, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 180, 252
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Given numbers are 486, 217, 998
The greatest common divisor of numbers 486, 217, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 217, 998 is 1.

1. What is the GCD of 486, 217, 998?

GCD of given numbers 486, 217, 998 is 1

2. How to calculate the greatest common divisor of 486, 217, 998?

We can find the highest common divisor of 486, 217, 998 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 486, 217, 998 i.e 1.

3. How can I use the GCD of 486, 217, 998Calculator?

Out the numbers 486, 217, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.