GCD of 422, 648, 392, 112 Calculator

Given Input numbers are 422, 648, 392, 112

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (422, 648, 392, 112) = 2.

Given numbers are 422, 648, 392, 112

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 422, 648, 392, 112 is 2.

Given numbers are 422, 648, 392, 112

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

Apply this formula for all numbers.

Step1:

LCM(422, 648) = 136728

GCD(422, 648) = ( 422 x 648 ) / 136728

= 422 / 648

= 422

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 422, 648, 392, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 809, 744, 315
• GCD of 192, 853, 993, 669
• GCD of 453, 628, 937, 492
• GCD of 923, 775, 359, 844
• GCD of 559, 219, 723, 573

Given numbers are 422, 648, 392, 112
The greatest common divisor of numbers 422, 648, 392, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 648, 392, 112 is 2.

1. What is the GCD of 422, 648, 392, 112?

GCD of given numbers 422, 648, 392, 112 is 2

2. How to calculate the greatest common divisor of 422, 648, 392, 112?

We can find the highest common divisor of 422, 648, 392, 112 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 422, 648, 392, 112 i.e 2.

3. How can I use the GCD of 422, 648, 392, 112Calculator?

Out the numbers 422, 648, 392, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.