GCD of 498, 517, 720, 390 Calculator

Given Input numbers are 498, 517, 720, 390

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

GCD of numbers is the greatest common divisor

So, the GCD (498, 517, 720, 390) = 1.

Given numbers are 498, 517, 720, 390

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 517 are 11 x 47

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

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

Given numbers are 498, 517, 720, 390

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

Apply this formula for all numbers.

Step1:

LCM(498, 517) = 257466

GCD(498, 517) = ( 498 x 517 ) / 257466

= 498 / 517

= 498

Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

So, Greatest Common Divisor of 498, 517, 720, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 895, 369, 383
• GCD of 374, 123, 902, 940
• GCD of 690, 399, 481, 100
• GCD of 378, 825, 967, 101
• GCD of 605, 154, 117, 658

Given numbers are 498, 517, 720, 390
The greatest common divisor of numbers 498, 517, 720, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 517, 720, 390 is 1.

1. What is the GCD of 498, 517, 720, 390?

GCD of given numbers 498, 517, 720, 390 is 1

2. How to calculate the greatest common divisor of 498, 517, 720, 390?

We can find the highest common divisor of 498, 517, 720, 390 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 498, 517, 720, 390 i.e 1.

3. How can I use the GCD of 498, 517, 720, 390Calculator?

Out the numbers 498, 517, 720, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.