GCD of 490, 990, 584, 910 Calculator

Given Input numbers are 490, 990, 584, 910

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

GCD of numbers is the greatest common divisor

So, the GCD (490, 990, 584, 910) = 2.

Given numbers are 490, 990, 584, 910

The list of prime factors of all numbers are

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 910 are 2 x 5 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 490, 990, 584, 910 is 2.

Given numbers are 490, 990, 584, 910

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

Apply this formula for all numbers.

Step1:

LCM(490, 990) = 48510

GCD(490, 990) = ( 490 x 990 ) / 48510

= 490 / 990

= 490

Step2:

LCM(10, 584) = 2920

GCD(10, 584) = ( 10 x 584 ) / 2920

= 10 / 584

= 10

Step3:

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

= 2 / 910

= 2

So, Greatest Common Divisor of 490, 990, 584, 910 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 901, 380, 155
• GCD of 976, 515, 886, 859
• GCD of 921, 213, 344, 571
• GCD of 443, 367, 676, 605
• GCD of 248, 876, 469, 328

Given numbers are 490, 990, 584, 910
The greatest common divisor of numbers 490, 990, 584, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 990, 584, 910 is 2.

1. What is the GCD of 490, 990, 584, 910?

GCD of given numbers 490, 990, 584, 910 is 2

2. How to calculate the greatest common divisor of 490, 990, 584, 910?

We can find the highest common divisor of 490, 990, 584, 910 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, 990, 584, 910 i.e 2.

3. How can I use the GCD of 490, 990, 584, 910Calculator?

Out the numbers 490, 990, 584, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.