GCD of 738, 368, 426, 112 Calculator

Given Input numbers are 738, 368, 426, 112

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 (738, 368, 426, 112) = 2.

Given numbers are 738, 368, 426, 112

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 426 are 2 x 3 x 71

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

The highest common occurrence is 2¹

Therefore, GCD of 738, 368, 426, 112 is 2.

Given numbers are 738, 368, 426, 112

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

Apply this formula for all numbers.

Step1:

LCM(738, 368) = 135792

GCD(738, 368) = ( 738 x 368 ) / 135792

= 738 / 368

= 738

Step2:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2

Step3:

LCM(2, 112) = 112

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

= 2 / 112

= 2

So, Greatest Common Divisor of 738, 368, 426, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 348, 336, 144
• GCD of 597, 193, 316, 210
• GCD of 153, 393, 211, 922
• GCD of 671, 985, 569, 698
• GCD of 735, 896, 403, 277

Given numbers are 738, 368, 426, 112
The greatest common divisor of numbers 738, 368, 426, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 368, 426, 112 is 2.

1. What is the GCD of 738, 368, 426, 112?

GCD of given numbers 738, 368, 426, 112 is 2

2. How to calculate the greatest common divisor of 738, 368, 426, 112?

We can find the highest common divisor of 738, 368, 426, 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 738, 368, 426, 112 i.e 2.

3. How can I use the GCD of 738, 368, 426, 112Calculator?

Out the numbers 738, 368, 426, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.