GCD of 746, 228, 112, 366 Calculator

Given Input numbers are 746, 228, 112, 366

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (746, 228, 112, 366) = 2.

Given numbers are 746, 228, 112, 366

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 228 are 2 x 2 x 3 x 19

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

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 746, 228, 112, 366 is 2.

Given numbers are 746, 228, 112, 366

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

Apply this formula for all numbers.

Step1:

LCM(746, 228) = 85044

GCD(746, 228) = ( 746 x 228 ) / 85044

= 746 / 228

= 746

Step2:

LCM(2, 112) = 112

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

= 2 / 112

= 2

Step3:

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

= 2 / 366

= 2

So, Greatest Common Divisor of 746, 228, 112, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 537, 218, 496
• GCD of 712, 493, 357, 811
• GCD of 238, 599, 951, 310
• GCD of 854, 479, 145, 850
• GCD of 103, 154, 696, 585

Given numbers are 746, 228, 112, 366
The greatest common divisor of numbers 746, 228, 112, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 228, 112, 366 is 2.

1. What is the GCD of 746, 228, 112, 366?

GCD of given numbers 746, 228, 112, 366 is 2

2. How to calculate the greatest common divisor of 746, 228, 112, 366?

We can find the highest common divisor of 746, 228, 112, 366 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 746, 228, 112, 366 i.e 2.

3. How can I use the GCD of 746, 228, 112, 366Calculator?

Out the numbers 746, 228, 112, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.