GCD of 344, 448, 156, 852 Calculator

Given Input numbers are 344, 448, 156, 852

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

Divisors of 344 :

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

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 (344, 448, 156, 852) = 4.

Given numbers are 344, 448, 156, 852

The list of prime factors of all numbers are

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2²

Therefore, GCD of 344, 448, 156, 852 is 4.

Given numbers are 344, 448, 156, 852

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

Apply this formula for all numbers.

Step1:

LCM(344, 448) = 19264

GCD(344, 448) = ( 344 x 448 ) / 19264

= 344 / 448

= 344

Step2:

LCM(8, 156) = 312

GCD(8, 156) = ( 8 x 156 ) / 312

= 8 / 156

= 8

Step3:

LCM(4, 852) = 852

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

= 4 / 852

= 4

So, Greatest Common Divisor of 344, 448, 156, 852 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 437, 634, 396
• GCD of 921, 436, 909, 669
• GCD of 390, 187, 935, 223
• GCD of 234, 768, 776, 111
• GCD of 284, 559, 345, 955

Given numbers are 344, 448, 156, 852
The greatest common divisor of numbers 344, 448, 156, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 448, 156, 852 is 4.

1. What is the GCD of 344, 448, 156, 852?

GCD of given numbers 344, 448, 156, 852 is 4

2. How to calculate the greatest common divisor of 344, 448, 156, 852?

We can find the highest common divisor of 344, 448, 156, 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 344, 448, 156, 852 i.e 4.

3. How can I use the GCD of 344, 448, 156, 852Calculator?

Out the numbers 344, 448, 156, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.