GCD of 493, 287, 390, 270 Calculator

Given Input numbers are 493, 287, 390, 270

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (493, 287, 390, 270) = 1.

Given numbers are 493, 287, 390, 270

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 287 are 7 x 41

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 493, 287, 390, 270

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

Apply this formula for all numbers.

Step1:

LCM(493, 287) = 141491

GCD(493, 287) = ( 493 x 287 ) / 141491

= 493 / 287

= 493

Step2:

LCM(1, 390) = 390

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

= 1 / 390

= 1

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 493, 287, 390, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 804, 800, 522
• GCD of 916, 512, 431, 504
• GCD of 252, 251, 569, 469
• GCD of 202, 877, 121, 689
• GCD of 637, 447, 842, 540

Given numbers are 493, 287, 390, 270
The greatest common divisor of numbers 493, 287, 390, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 287, 390, 270 is 1.

1. What is the GCD of 493, 287, 390, 270?

GCD of given numbers 493, 287, 390, 270 is 1

2. How to calculate the greatest common divisor of 493, 287, 390, 270?

We can find the highest common divisor of 493, 287, 390, 270 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 493, 287, 390, 270 i.e 1.

3. How can I use the GCD of 493, 287, 390, 270Calculator?

Out the numbers 493, 287, 390, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.