GCD of 490, 482, 104, 288 Calculator

Given Input numbers are 490, 482, 104, 288

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

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 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (490, 482, 104, 288) = 2.

Given numbers are 490, 482, 104, 288

The list of prime factors of all numbers are

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

Prime factors of 482 are 2 x 241

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 490, 482, 104, 288 is 2.

Given numbers are 490, 482, 104, 288

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

Apply this formula for all numbers.

Step1:

LCM(490, 482) = 118090

GCD(490, 482) = ( 490 x 482 ) / 118090

= 490 / 482

= 490

Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 490, 482, 104, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 616, 511, 668
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• GCD of 644, 878, 712, 743

Given numbers are 490, 482, 104, 288
The greatest common divisor of numbers 490, 482, 104, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 482, 104, 288 is 2.

1. What is the GCD of 490, 482, 104, 288?

GCD of given numbers 490, 482, 104, 288 is 2

2. How to calculate the greatest common divisor of 490, 482, 104, 288?

We can find the highest common divisor of 490, 482, 104, 288 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 490, 482, 104, 288 i.e 2.

3. How can I use the GCD of 490, 482, 104, 288Calculator?

Out the numbers 490, 482, 104, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.