GCD of 130, 490, 320 Calculator

Given Input numbers are 130, 490, 320

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

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

GCD of numbers is the greatest common divisor

So, the GCD (130, 490, 320) = 10.

Given numbers are 130, 490, 320

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 130, 490, 320 is 10.

Given numbers are 130, 490, 320

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

Apply this formula for all numbers.

Step1:

LCM(130, 490) = 6370

GCD(130, 490) = ( 130 x 490 ) / 6370

= 130 / 490

= 130

Step2:

LCM(10, 320) = 320

GCD(10, 320) = ( 10 x 320 ) / 320

= 10 / 320

= 10

So, Greatest Common Divisor of 130, 490, 320 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 978, 794
• GCD of 179, 649, 690
• GCD of 579, 685, 698
• GCD of 720, 596, 316
• GCD of 815, 223, 450

Given numbers are 130, 490, 320
The greatest common divisor of numbers 130, 490, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 490, 320 is 10.

1. What is the GCD of 130, 490, 320?

GCD of given numbers 130, 490, 320 is 10

2. How to calculate the greatest common divisor of 130, 490, 320?

We can find the highest common divisor of 130, 490, 320 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 130, 490, 320 i.e 10.

3. How can I use the GCD of 130, 490, 320Calculator?

Out the numbers 130, 490, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.