GCD of 208, 504, 288, 714 Calculator

Given Input numbers are 208, 504, 288, 714

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

GCD of numbers is the greatest common divisor

So, the GCD (208, 504, 288, 714) = 2.

Given numbers are 208, 504, 288, 714

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 208, 504, 288, 714 is 2.

Given numbers are 208, 504, 288, 714

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

Apply this formula for all numbers.

Step1:

LCM(208, 504) = 13104

GCD(208, 504) = ( 208 x 504 ) / 13104

= 208 / 504

= 208

Step2:

LCM(8, 288) = 288

GCD(8, 288) = ( 8 x 288 ) / 288

= 8 / 288

= 8

Step3:

LCM(8, 714) = 2856

GCD(8, 714) = ( 8 x 714 ) / 2856

= 8 / 714

= 8

So, Greatest Common Divisor of 208, 504, 288, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 485, 420, 500
• GCD of 914, 364, 803, 250
• GCD of 338, 818, 229, 453
• GCD of 822, 357, 828, 763
• GCD of 569, 268, 605, 885

Given numbers are 208, 504, 288, 714
The greatest common divisor of numbers 208, 504, 288, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 504, 288, 714 is 2.

1. What is the GCD of 208, 504, 288, 714?

GCD of given numbers 208, 504, 288, 714 is 2

2. How to calculate the greatest common divisor of 208, 504, 288, 714?

We can find the highest common divisor of 208, 504, 288, 714 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 208, 504, 288, 714 i.e 2.

3. How can I use the GCD of 208, 504, 288, 714Calculator?

Out the numbers 208, 504, 288, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.