GCD of 582, 924, 608, 490 Calculator

Given Input numbers are 582, 924, 608, 490

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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

GCD of numbers is the greatest common divisor

So, the GCD (582, 924, 608, 490) = 2.

Given numbers are 582, 924, 608, 490

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 582, 924, 608, 490 is 2.

Given numbers are 582, 924, 608, 490

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

Apply this formula for all numbers.

Step1:

LCM(582, 924) = 89628

GCD(582, 924) = ( 582 x 924 ) / 89628

= 582 / 924

= 582

Step2:

LCM(6, 608) = 1824

GCD(6, 608) = ( 6 x 608 ) / 1824

= 6 / 608

= 6

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 582, 924, 608, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 793, 946, 438
• GCD of 163, 413, 386, 321
• GCD of 113, 947, 520, 764
• GCD of 174, 559, 872, 276
• GCD of 814, 652, 238, 143

Given numbers are 582, 924, 608, 490
The greatest common divisor of numbers 582, 924, 608, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 924, 608, 490 is 2.

1. What is the GCD of 582, 924, 608, 490?

GCD of given numbers 582, 924, 608, 490 is 2

2. How to calculate the greatest common divisor of 582, 924, 608, 490?

We can find the highest common divisor of 582, 924, 608, 490 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 582, 924, 608, 490 i.e 2.

3. How can I use the GCD of 582, 924, 608, 490Calculator?

Out the numbers 582, 924, 608, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.