GCD of 489, 475, 490, 916 Calculator

Given Input numbers are 489, 475, 490, 916

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (489, 475, 490, 916) = 1.

Given numbers are 489, 475, 490, 916

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 475 are 5 x 5 x 19

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 489, 475, 490, 916

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

Apply this formula for all numbers.

Step1:

LCM(489, 475) = 232275

GCD(489, 475) = ( 489 x 475 ) / 232275

= 489 / 475

= 489

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 489, 475, 490, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 656, 530, 688
• GCD of 612, 830, 722, 197
• GCD of 706, 488, 266, 111
• GCD of 771, 970, 277, 889
• GCD of 645, 244, 643, 471

Given numbers are 489, 475, 490, 916
The greatest common divisor of numbers 489, 475, 490, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 475, 490, 916 is 1.

1. What is the GCD of 489, 475, 490, 916?

GCD of given numbers 489, 475, 490, 916 is 1

2. How to calculate the greatest common divisor of 489, 475, 490, 916?

We can find the highest common divisor of 489, 475, 490, 916 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, 475, 490, 916 i.e 1.

3. How can I use the GCD of 489, 475, 490, 916Calculator?

Out the numbers 489, 475, 490, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.