GCD of 308, 708, 556, 768 Calculator

Given Input numbers are 308, 708, 556, 768

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (308, 708, 556, 768) = 4.

Given numbers are 308, 708, 556, 768

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 556 are 2 x 2 x 139

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 308, 708, 556, 768 is 4.

Given numbers are 308, 708, 556, 768

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

Apply this formula for all numbers.

Step1:

LCM(308, 708) = 54516

GCD(308, 708) = ( 308 x 708 ) / 54516

= 308 / 708

= 308

Step2:

LCM(4, 556) = 556

GCD(4, 556) = ( 4 x 556 ) / 556

= 4 / 556

= 4

Step3:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4

So, Greatest Common Divisor of 308, 708, 556, 768 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 194, 436, 700
• GCD of 790, 585, 797, 144
• GCD of 312, 580, 865, 473
• GCD of 568, 470, 127, 230
• GCD of 537, 125, 109, 659

Given numbers are 308, 708, 556, 768
The greatest common divisor of numbers 308, 708, 556, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 708, 556, 768 is 4.

1. What is the GCD of 308, 708, 556, 768?

GCD of given numbers 308, 708, 556, 768 is 4

2. How to calculate the greatest common divisor of 308, 708, 556, 768?

We can find the highest common divisor of 308, 708, 556, 768 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 308, 708, 556, 768 i.e 4.

3. How can I use the GCD of 308, 708, 556, 768Calculator?

Out the numbers 308, 708, 556, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.