GCD of 432, 748, 182, 878 Calculator

Given Input numbers are 432, 748, 182, 878

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (432, 748, 182, 878) = 2.

Given numbers are 432, 748, 182, 878

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 748 are 2 x 2 x 11 x 17

Prime factors of 182 are 2 x 7 x 13

Prime factors of 878 are 2 x 439

The highest common occurrence is 2¹

Therefore, GCD of 432, 748, 182, 878 is 2.

Given numbers are 432, 748, 182, 878

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

Apply this formula for all numbers.

Step1:

LCM(432, 748) = 80784

GCD(432, 748) = ( 432 x 748 ) / 80784

= 432 / 748

= 432

Step2:

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

= 4 / 182

= 4

Step3:

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

= 2 / 878

= 2

So, Greatest Common Divisor of 432, 748, 182, 878 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 765, 100, 159
• GCD of 319, 384, 459, 174
• GCD of 322, 391, 135, 738
• GCD of 500, 946, 785, 505
• GCD of 761, 350, 412, 266

Given numbers are 432, 748, 182, 878
The greatest common divisor of numbers 432, 748, 182, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 748, 182, 878 is 2.

1. What is the GCD of 432, 748, 182, 878?

GCD of given numbers 432, 748, 182, 878 is 2

2. How to calculate the greatest common divisor of 432, 748, 182, 878?

We can find the highest common divisor of 432, 748, 182, 878 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, 748, 182, 878 i.e 2.

3. How can I use the GCD of 432, 748, 182, 878Calculator?

Out the numbers 432, 748, 182, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.