GCD of 424, 308, 448, 854 Calculator

Given Input numbers are 424, 308, 448, 854

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (424, 308, 448, 854) = 2.

Given numbers are 424, 308, 448, 854

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 424, 308, 448, 854 is 2.

Given numbers are 424, 308, 448, 854

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

Apply this formula for all numbers.

Step1:

LCM(424, 308) = 32648

GCD(424, 308) = ( 424 x 308 ) / 32648

= 424 / 308

= 424

Step2:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

Step3:

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

= 4 / 854

= 4

So, Greatest Common Divisor of 424, 308, 448, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 206, 818, 448
• GCD of 208, 566, 916, 858
• GCD of 748, 233, 156, 378
• GCD of 209, 980, 877, 510
• GCD of 311, 536, 887, 625

Given numbers are 424, 308, 448, 854
The greatest common divisor of numbers 424, 308, 448, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 308, 448, 854 is 2.

1. What is the GCD of 424, 308, 448, 854?

GCD of given numbers 424, 308, 448, 854 is 2

2. How to calculate the greatest common divisor of 424, 308, 448, 854?

We can find the highest common divisor of 424, 308, 448, 854 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 424, 308, 448, 854 i.e 2.

3. How can I use the GCD of 424, 308, 448, 854Calculator?

Out the numbers 424, 308, 448, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.