GCD of 130, 325, 546, 108 Calculator

Given Input numbers are 130, 325, 546, 108

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 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (130, 325, 546, 108) = 1.

Given numbers are 130, 325, 546, 108

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 325 are 5 x 5 x 13

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 130, 325, 546, 108

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

Apply this formula for all numbers.

Step1:

LCM(130, 325) = 650

GCD(130, 325) = ( 130 x 325 ) / 650

= 130 / 325

= 130

Step2:

LCM(65, 546) = 2730

GCD(65, 546) = ( 65 x 546 ) / 2730

= 65 / 546

= 65

Step3:

LCM(13, 108) = 1404

GCD(13, 108) = ( 13 x 108 ) / 1404

= 13 / 108

= 13

So, Greatest Common Divisor of 130, 325, 546, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 277, 579, 625
• GCD of 960, 890, 407, 203
• GCD of 591, 885, 362, 642
• GCD of 146, 733, 621, 459
• GCD of 306, 125, 405, 655

Given numbers are 130, 325, 546, 108
The greatest common divisor of numbers 130, 325, 546, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 325, 546, 108 is 1.

1. What is the GCD of 130, 325, 546, 108?

GCD of given numbers 130, 325, 546, 108 is 1

2. How to calculate the greatest common divisor of 130, 325, 546, 108?

We can find the highest common divisor of 130, 325, 546, 108 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, 325, 546, 108 i.e 1.

3. How can I use the GCD of 130, 325, 546, 108Calculator?

Out the numbers 130, 325, 546, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.