GCD of 812, 892, 924, 344 Calculator

Given Input numbers are 812, 892, 924, 344

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (812, 892, 924, 344) = 4.

Given numbers are 812, 892, 924, 344

The list of prime factors of all numbers are

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 812, 892, 924, 344 is 4.

Given numbers are 812, 892, 924, 344

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

Apply this formula for all numbers.

Step1:

LCM(812, 892) = 181076

GCD(812, 892) = ( 812 x 892 ) / 181076

= 812 / 892

= 812

Step2:

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

= 4 / 924

= 4

Step3:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

So, Greatest Common Divisor of 812, 892, 924, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 904, 818, 156
• GCD of 748, 158, 492, 451
• GCD of 269, 618, 301, 694
• GCD of 146, 758, 963, 909
• GCD of 473, 527, 308, 762

Given numbers are 812, 892, 924, 344
The greatest common divisor of numbers 812, 892, 924, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 892, 924, 344 is 4.

1. What is the GCD of 812, 892, 924, 344?

GCD of given numbers 812, 892, 924, 344 is 4

2. How to calculate the greatest common divisor of 812, 892, 924, 344?

We can find the highest common divisor of 812, 892, 924, 344 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, 892, 924, 344 i.e 4.

3. How can I use the GCD of 812, 892, 924, 344Calculator?

Out the numbers 812, 892, 924, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.