GCD of 768, 112, 112, 268 Calculator

Given Input numbers are 768, 112, 112, 268

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

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (768, 112, 112, 268) = 4.

Given numbers are 768, 112, 112, 268

The list of prime factors of all numbers are

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 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2²

Therefore, GCD of 768, 112, 112, 268 is 4.

Given numbers are 768, 112, 112, 268

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

Apply this formula for all numbers.

Step1:

LCM(768, 112) = 5376

GCD(768, 112) = ( 768 x 112 ) / 5376

= 768 / 112

= 768

Step2:

LCM(16, 112) = 112

GCD(16, 112) = ( 16 x 112 ) / 112

= 16 / 112

= 16

Step3:

LCM(16, 268) = 1072

GCD(16, 268) = ( 16 x 268 ) / 1072

= 16 / 268

= 16

So, Greatest Common Divisor of 768, 112, 112, 268 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 988, 379, 609
• GCD of 159, 834, 675, 613
• GCD of 866, 546, 522, 593
• GCD of 567, 424, 896, 762
• GCD of 480, 820, 165, 133

Given numbers are 768, 112, 112, 268
The greatest common divisor of numbers 768, 112, 112, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 112, 112, 268 is 4.

1. What is the GCD of 768, 112, 112, 268?

GCD of given numbers 768, 112, 112, 268 is 4

2. How to calculate the greatest common divisor of 768, 112, 112, 268?

We can find the highest common divisor of 768, 112, 112, 268 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 768, 112, 112, 268 i.e 4.

3. How can I use the GCD of 768, 112, 112, 268Calculator?

Out the numbers 768, 112, 112, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.