GCD of 390, 726, 546, 509 Calculator

Given Input numbers are 390, 726, 546, 509

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (390, 726, 546, 509) = 1.

Given numbers are 390, 726, 546, 509

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 726 are 2 x 3 x 11 x 11

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

Prime factors of 509 are 509

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

Given numbers are 390, 726, 546, 509

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

Apply this formula for all numbers.

Step1:

LCM(390, 726) = 47190

GCD(390, 726) = ( 390 x 726 ) / 47190

= 390 / 726

= 390

Step2:

LCM(6, 546) = 546

GCD(6, 546) = ( 6 x 546 ) / 546

= 6 / 546

= 6

Step3:

LCM(6, 509) = 3054

GCD(6, 509) = ( 6 x 509 ) / 3054

= 6 / 509

= 6

So, Greatest Common Divisor of 390, 726, 546, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 158, 291, 669
• GCD of 156, 287, 792, 295
• GCD of 653, 240, 770, 937
• GCD of 629, 978, 177, 244
• GCD of 373, 531, 837, 392

Given numbers are 390, 726, 546, 509
The greatest common divisor of numbers 390, 726, 546, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 726, 546, 509 is 1.

1. What is the GCD of 390, 726, 546, 509?

GCD of given numbers 390, 726, 546, 509 is 1

2. How to calculate the greatest common divisor of 390, 726, 546, 509?

We can find the highest common divisor of 390, 726, 546, 509 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 390, 726, 546, 509 i.e 1.

3. How can I use the GCD of 390, 726, 546, 509Calculator?

Out the numbers 390, 726, 546, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.