GCD of 714, 318, 228, 624 Calculator

Given Input numbers are 714, 318, 228, 624

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 318 :

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

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (714, 318, 228, 624) = 6.

Given numbers are 714, 318, 228, 624

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 714, 318, 228, 624 is 6.

Given numbers are 714, 318, 228, 624

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

Apply this formula for all numbers.

Step1:

LCM(714, 318) = 37842

GCD(714, 318) = ( 714 x 318 ) / 37842

= 714 / 318

= 714

Step2:

LCM(6, 228) = 228

GCD(6, 228) = ( 6 x 228 ) / 228

= 6 / 228

= 6

Step3:

LCM(6, 624) = 624

GCD(6, 624) = ( 6 x 624 ) / 624

= 6 / 624

= 6

So, Greatest Common Divisor of 714, 318, 228, 624 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 382, 279, 766
• GCD of 375, 611, 190, 738
• GCD of 555, 725, 963, 551
• GCD of 423, 121, 240, 303
• GCD of 215, 145, 700, 405

Given numbers are 714, 318, 228, 624
The greatest common divisor of numbers 714, 318, 228, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 318, 228, 624 is 6.

1. What is the GCD of 714, 318, 228, 624?

GCD of given numbers 714, 318, 228, 624 is 6

2. How to calculate the greatest common divisor of 714, 318, 228, 624?

We can find the highest common divisor of 714, 318, 228, 624 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 714, 318, 228, 624 i.e 6.

3. How can I use the GCD of 714, 318, 228, 624Calculator?

Out the numbers 714, 318, 228, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.