GCD of 112, 644, 768, 852 Calculator

Given Input numbers are 112, 644, 768, 852

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

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (112, 644, 768, 852) = 4.

Given numbers are 112, 644, 768, 852

The list of prime factors of all numbers are

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

Prime factors of 644 are 2 x 2 x 7 x 23

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 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2²

Therefore, GCD of 112, 644, 768, 852 is 4.

Given numbers are 112, 644, 768, 852

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

Apply this formula for all numbers.

Step1:

LCM(112, 644) = 2576

GCD(112, 644) = ( 112 x 644 ) / 2576

= 112 / 644

= 112

Step2:

LCM(28, 768) = 5376

GCD(28, 768) = ( 28 x 768 ) / 5376

= 28 / 768

= 28

Step3:

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

= 4 / 852

= 4

So, Greatest Common Divisor of 112, 644, 768, 852 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 855, 650, 367
• GCD of 830, 299, 311, 477
• GCD of 973, 481, 545, 728
• GCD of 280, 593, 340, 679
• GCD of 854, 235, 910, 494

Given numbers are 112, 644, 768, 852
The greatest common divisor of numbers 112, 644, 768, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 644, 768, 852 is 4.

1. What is the GCD of 112, 644, 768, 852?

GCD of given numbers 112, 644, 768, 852 is 4

2. How to calculate the greatest common divisor of 112, 644, 768, 852?

We can find the highest common divisor of 112, 644, 768, 852 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 112, 644, 768, 852 i.e 4.

3. How can I use the GCD of 112, 644, 768, 852Calculator?

Out the numbers 112, 644, 768, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.