GCD of 424, 122, 106, 112 Calculator

Given Input numbers are 424, 122, 106, 112

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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 (424, 122, 106, 112) = 2.

Given numbers are 424, 122, 106, 112

The list of prime factors of all numbers are

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

Prime factors of 122 are 2 x 61

Prime factors of 106 are 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 424, 122, 106, 112 is 2.

Given numbers are 424, 122, 106, 112

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

Apply this formula for all numbers.

Step1:

LCM(424, 122) = 25864

GCD(424, 122) = ( 424 x 122 ) / 25864

= 424 / 122

= 424

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 112) = 112

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

= 2 / 112

= 2

So, Greatest Common Divisor of 424, 122, 106, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 420, 837, 439
• GCD of 987, 775, 168, 151
• GCD of 241, 290, 774, 445
• GCD of 559, 576, 438, 811
• GCD of 275, 157, 792, 975

Given numbers are 424, 122, 106, 112
The greatest common divisor of numbers 424, 122, 106, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 122, 106, 112 is 2.

1. What is the GCD of 424, 122, 106, 112?

GCD of given numbers 424, 122, 106, 112 is 2

2. How to calculate the greatest common divisor of 424, 122, 106, 112?

We can find the highest common divisor of 424, 122, 106, 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 424, 122, 106, 112 i.e 2.

3. How can I use the GCD of 424, 122, 106, 112Calculator?

Out the numbers 424, 122, 106, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.