GCD of 116, 768, 292, 328 Calculator

Given Input numbers are 116, 768, 292, 328

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (116, 768, 292, 328) = 4.

Given numbers are 116, 768, 292, 328

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

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

Prime factors of 292 are 2 x 2 x 73

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 116, 768, 292, 328 is 4.

Given numbers are 116, 768, 292, 328

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

Apply this formula for all numbers.

Step1:

LCM(116, 768) = 22272

GCD(116, 768) = ( 116 x 768 ) / 22272

= 116 / 768

= 116

Step2:

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

= 4 / 292

= 4

Step3:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4

So, Greatest Common Divisor of 116, 768, 292, 328 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 780, 297, 124
• GCD of 501, 397, 621, 593
• GCD of 826, 734, 973, 713
• GCD of 747, 462, 205, 319
• GCD of 549, 136, 499, 455

Given numbers are 116, 768, 292, 328
The greatest common divisor of numbers 116, 768, 292, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 768, 292, 328 is 4.

1. What is the GCD of 116, 768, 292, 328?

GCD of given numbers 116, 768, 292, 328 is 4

2. How to calculate the greatest common divisor of 116, 768, 292, 328?

We can find the highest common divisor of 116, 768, 292, 328 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 116, 768, 292, 328 i.e 4.

3. How can I use the GCD of 116, 768, 292, 328Calculator?

Out the numbers 116, 768, 292, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.