GCD of 899, 279, 676, 489 Calculator

Given Input numbers are 899, 279, 676, 489

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

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 (899, 279, 676, 489) = 1.

Given numbers are 899, 279, 676, 489

The list of prime factors of all numbers are

Prime factors of 899 are 29 x 31

Prime factors of 279 are 3 x 3 x 31

Prime factors of 676 are 2 x 2 x 13 x 13

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 899, 279, 676, 489

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

Apply this formula for all numbers.

Step1:

LCM(899, 279) = 8091

GCD(899, 279) = ( 899 x 279 ) / 8091

= 899 / 279

= 899

Step2:

LCM(31, 676) = 20956

GCD(31, 676) = ( 31 x 676 ) / 20956

= 31 / 676

= 31

Step3:

LCM(1, 489) = 489

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

= 1 / 489

= 1

So, Greatest Common Divisor of 899, 279, 676, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 130, 539, 625
• GCD of 255, 836, 532, 524
• GCD of 329, 551, 767, 228
• GCD of 274, 183, 693, 555
• GCD of 227, 906, 142, 290

Given numbers are 899, 279, 676, 489
The greatest common divisor of numbers 899, 279, 676, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 899, 279, 676, 489 is 1.

1. What is the GCD of 899, 279, 676, 489?

GCD of given numbers 899, 279, 676, 489 is 1

2. How to calculate the greatest common divisor of 899, 279, 676, 489?

We can find the highest common divisor of 899, 279, 676, 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 899, 279, 676, 489 i.e 1.

3. How can I use the GCD of 899, 279, 676, 489Calculator?

Out the numbers 899, 279, 676, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.