GCD of 996, 489, 649 Calculator

Given Input numbers are 996, 489, 649

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (996, 489, 649) = 1.

Given numbers are 996, 489, 649

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 489 are 3 x 163

Prime factors of 649 are 11 x 59

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

Given numbers are 996, 489, 649

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

Apply this formula for all numbers.

Step1:

LCM(996, 489) = 162348

GCD(996, 489) = ( 996 x 489 ) / 162348

= 996 / 489

= 996

Step2:

LCM(3, 649) = 1947

GCD(3, 649) = ( 3 x 649 ) / 1947

= 3 / 649

= 3

So, Greatest Common Divisor of 996, 489, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 307, 539
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• GCD of 479, 489, 733
• GCD of 302, 165, 600
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Given numbers are 996, 489, 649
The greatest common divisor of numbers 996, 489, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 489, 649 is 1.

1. What is the GCD of 996, 489, 649?

GCD of given numbers 996, 489, 649 is 1

2. How to calculate the greatest common divisor of 996, 489, 649?

We can find the highest common divisor of 996, 489, 649 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 996, 489, 649 i.e 1.

3. How can I use the GCD of 996, 489, 649Calculator?

Out the numbers 996, 489, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.