GCD of 812, 232, 114, 828 Calculator

Given Input numbers are 812, 232, 114, 828

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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

GCD of numbers is the greatest common divisor

So, the GCD (812, 232, 114, 828) = 2.

Given numbers are 812, 232, 114, 828

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 812, 232, 114, 828 is 2.

Given numbers are 812, 232, 114, 828

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

Apply this formula for all numbers.

Step1:

LCM(812, 232) = 1624

GCD(812, 232) = ( 812 x 232 ) / 1624

= 812 / 232

= 812

Step2:

LCM(116, 114) = 6612

GCD(116, 114) = ( 116 x 114 ) / 6612

= 116 / 114

= 116

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 812, 232, 114, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 717, 681, 901
• GCD of 237, 138, 817, 651
• GCD of 960, 104, 817, 173
• GCD of 162, 167, 689, 170
• GCD of 807, 158, 966, 763

Given numbers are 812, 232, 114, 828
The greatest common divisor of numbers 812, 232, 114, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 232, 114, 828 is 2.

1. What is the GCD of 812, 232, 114, 828?

GCD of given numbers 812, 232, 114, 828 is 2

2. How to calculate the greatest common divisor of 812, 232, 114, 828?

We can find the highest common divisor of 812, 232, 114, 828 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 812, 232, 114, 828 i.e 2.

3. How can I use the GCD of 812, 232, 114, 828Calculator?

Out the numbers 812, 232, 114, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.