GCD of 318, 240, 214, 588 Calculator

Given Input numbers are 318, 240, 214, 588

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (318, 240, 214, 588) = 2.

Given numbers are 318, 240, 214, 588

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 214 are 2 x 107

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 318, 240, 214, 588 is 2.

Given numbers are 318, 240, 214, 588

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

Apply this formula for all numbers.

Step1:

LCM(318, 240) = 12720

GCD(318, 240) = ( 318 x 240 ) / 12720

= 318 / 240

= 318

Step2:

LCM(6, 214) = 642

GCD(6, 214) = ( 6 x 214 ) / 642

= 6 / 214

= 6

Step3:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

So, Greatest Common Divisor of 318, 240, 214, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 257, 219, 453
• GCD of 293, 742, 981, 269
• GCD of 624, 464, 384, 605
• GCD of 176, 797, 269, 104
• GCD of 338, 278, 145, 486

Given numbers are 318, 240, 214, 588
The greatest common divisor of numbers 318, 240, 214, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 240, 214, 588 is 2.

1. What is the GCD of 318, 240, 214, 588?

GCD of given numbers 318, 240, 214, 588 is 2

2. How to calculate the greatest common divisor of 318, 240, 214, 588?

We can find the highest common divisor of 318, 240, 214, 588 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 318, 240, 214, 588 i.e 2.

3. How can I use the GCD of 318, 240, 214, 588Calculator?

Out the numbers 318, 240, 214, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.