GCD of 489, 814, 577, 874 Calculator

Given Input numbers are 489, 814, 577, 874

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (489, 814, 577, 874) = 1.

Given numbers are 489, 814, 577, 874

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 814 are 2 x 11 x 37

Prime factors of 577 are 577

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 489, 814, 577, 874

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

Apply this formula for all numbers.

Step1:

LCM(489, 814) = 398046

GCD(489, 814) = ( 489 x 814 ) / 398046

= 489 / 814

= 489

Step2:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 489, 814, 577, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 884, 823, 617
• GCD of 825, 485, 560, 337
• GCD of 114, 325, 503, 408
• GCD of 437, 923, 980, 497
• GCD of 822, 528, 487, 340

Given numbers are 489, 814, 577, 874
The greatest common divisor of numbers 489, 814, 577, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 814, 577, 874 is 1.

1. What is the GCD of 489, 814, 577, 874?

GCD of given numbers 489, 814, 577, 874 is 1

2. How to calculate the greatest common divisor of 489, 814, 577, 874?

We can find the highest common divisor of 489, 814, 577, 874 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, 814, 577, 874 i.e 1.

3. How can I use the GCD of 489, 814, 577, 874Calculator?

Out the numbers 489, 814, 577, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.