GCD of 484, 112, 96, 126 Calculator

Given Input numbers are 484, 112, 96, 126

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 112 :

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

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

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (484, 112, 96, 126) = 2.

Given numbers are 484, 112, 96, 126

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

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

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 484, 112, 96, 126 is 2.

Given numbers are 484, 112, 96, 126

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

Apply this formula for all numbers.

Step1:

LCM(484, 112) = 13552

GCD(484, 112) = ( 484 x 112 ) / 13552

= 484 / 112

= 484

Step2:

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

= 4 / 96

= 4

Step3:

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

= 4 / 126

= 4

So, Greatest Common Divisor of 484, 112, 96, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 888, 41, 320
• GCD of 665, 660, 38, 756
• GCD of 568, 498, 28, 447
• GCD of 318, 773, 72, 431
• GCD of 175, 308, 49, 896

Given numbers are 484, 112, 96, 126
The greatest common divisor of numbers 484, 112, 96, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 112, 96, 126 is 2.

1. What is the GCD of 484, 112, 96, 126?

GCD of given numbers 484, 112, 96, 126 is 2

2. How to calculate the greatest common divisor of 484, 112, 96, 126?

We can find the highest common divisor of 484, 112, 96, 126 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 484, 112, 96, 126 i.e 2.

3. How can I use the GCD of 484, 112, 96, 126Calculator?

Out the numbers 484, 112, 96, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.