GCD of 708, 516, 382, 224 Calculator

Given Input numbers are 708, 516, 382, 224

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (708, 516, 382, 224) = 2.

Given numbers are 708, 516, 382, 224

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 382 are 2 x 191

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 708, 516, 382, 224 is 2.

Given numbers are 708, 516, 382, 224

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

Apply this formula for all numbers.

Step1:

LCM(708, 516) = 30444

GCD(708, 516) = ( 708 x 516 ) / 30444

= 708 / 516

= 708

Step2:

LCM(12, 382) = 2292

GCD(12, 382) = ( 12 x 382 ) / 2292

= 12 / 382

= 12

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 708, 516, 382, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 991, 778, 723
• GCD of 778, 593, 685, 845
• GCD of 435, 397, 836, 973
• GCD of 274, 336, 415, 448
• GCD of 789, 258, 627, 195

Given numbers are 708, 516, 382, 224
The greatest common divisor of numbers 708, 516, 382, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 516, 382, 224 is 2.

1. What is the GCD of 708, 516, 382, 224?

GCD of given numbers 708, 516, 382, 224 is 2

2. How to calculate the greatest common divisor of 708, 516, 382, 224?

We can find the highest common divisor of 708, 516, 382, 224 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 708, 516, 382, 224 i.e 2.

3. How can I use the GCD of 708, 516, 382, 224Calculator?

Out the numbers 708, 516, 382, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.