GCD of 490, 320, 112, 324 Calculator

Given Input numbers are 490, 320, 112, 324

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (490, 320, 112, 324) = 2.

Given numbers are 490, 320, 112, 324

The list of prime factors of all numbers are

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 490, 320, 112, 324 is 2.

Given numbers are 490, 320, 112, 324

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

Apply this formula for all numbers.

Step1:

LCM(490, 320) = 15680

GCD(490, 320) = ( 490 x 320 ) / 15680

= 490 / 320

= 490

Step2:

LCM(10, 112) = 560

GCD(10, 112) = ( 10 x 112 ) / 560

= 10 / 112

= 10

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 490, 320, 112, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 221, 842, 523
• GCD of 475, 174, 791, 380
• GCD of 880, 416, 351, 679
• GCD of 259, 183, 287, 414
• GCD of 174, 779, 675, 557

Given numbers are 490, 320, 112, 324
The greatest common divisor of numbers 490, 320, 112, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 320, 112, 324 is 2.

1. What is the GCD of 490, 320, 112, 324?

GCD of given numbers 490, 320, 112, 324 is 2

2. How to calculate the greatest common divisor of 490, 320, 112, 324?

We can find the highest common divisor of 490, 320, 112, 324 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, 320, 112, 324 i.e 2.

3. How can I use the GCD of 490, 320, 112, 324Calculator?

Out the numbers 490, 320, 112, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.