GCD of 432, 116, 442, 746 Calculator

Given Input numbers are 432, 116, 442, 746

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 746 :

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

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (432, 116, 442, 746) = 2.

Given numbers are 432, 116, 442, 746

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 116 are 2 x 2 x 29

Prime factors of 442 are 2 x 13 x 17

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 432, 116, 442, 746 is 2.

Given numbers are 432, 116, 442, 746

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

Apply this formula for all numbers.

Step1:

LCM(432, 116) = 12528

GCD(432, 116) = ( 432 x 116 ) / 12528

= 432 / 116

= 432

Step2:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 432, 116, 442, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 990, 630, 186
• GCD of 213, 319, 504, 488
• GCD of 292, 507, 165, 529
• GCD of 635, 960, 186, 342
• GCD of 141, 647, 692, 289

Given numbers are 432, 116, 442, 746
The greatest common divisor of numbers 432, 116, 442, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 116, 442, 746 is 2.

1. What is the GCD of 432, 116, 442, 746?

GCD of given numbers 432, 116, 442, 746 is 2

2. How to calculate the greatest common divisor of 432, 116, 442, 746?

We can find the highest common divisor of 432, 116, 442, 746 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 432, 116, 442, 746 i.e 2.

3. How can I use the GCD of 432, 116, 442, 746Calculator?

Out the numbers 432, 116, 442, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.