GCD of 112, 792, 828, 767 Calculator

Given Input numbers are 112, 792, 828, 767

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

GCD of numbers is the greatest common divisor

So, the GCD (112, 792, 828, 767) = 1.

Given numbers are 112, 792, 828, 767

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 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 767 are 13 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 792, 828, 767

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

Apply this formula for all numbers.

Step1:

LCM(112, 792) = 11088

GCD(112, 792) = ( 112 x 792 ) / 11088

= 112 / 792

= 112

Step2:

LCM(8, 828) = 1656

GCD(8, 828) = ( 8 x 828 ) / 1656

= 8 / 828

= 8

Step3:

LCM(4, 767) = 3068

GCD(4, 767) = ( 4 x 767 ) / 3068

= 4 / 767

= 4

So, Greatest Common Divisor of 112, 792, 828, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 937, 371, 312
• GCD of 426, 825, 208, 785
• GCD of 394, 181, 244, 252
• GCD of 476, 855, 519, 583
• GCD of 848, 645, 249, 762

Given numbers are 112, 792, 828, 767
The greatest common divisor of numbers 112, 792, 828, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 792, 828, 767 is 1.

1. What is the GCD of 112, 792, 828, 767?

GCD of given numbers 112, 792, 828, 767 is 1

2. How to calculate the greatest common divisor of 112, 792, 828, 767?

We can find the highest common divisor of 112, 792, 828, 767 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, 792, 828, 767 i.e 1.

3. How can I use the GCD of 112, 792, 828, 767Calculator?

Out the numbers 112, 792, 828, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.