GCD of 232, 400, 448, 416 Calculator

Given Input numbers are 232, 400, 448, 416

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (232, 400, 448, 416) = 8.

Given numbers are 232, 400, 448, 416

The list of prime factors of all numbers are

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2³

Therefore, GCD of 232, 400, 448, 416 is 8.

Given numbers are 232, 400, 448, 416

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

Apply this formula for all numbers.

Step1:

LCM(232, 400) = 11600

GCD(232, 400) = ( 232 x 400 ) / 11600

= 232 / 400

= 232

Step2:

LCM(8, 448) = 448

GCD(8, 448) = ( 8 x 448 ) / 448

= 8 / 448

= 8

Step3:

LCM(8, 416) = 416

GCD(8, 416) = ( 8 x 416 ) / 416

= 8 / 416

= 8

So, Greatest Common Divisor of 232, 400, 448, 416 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 489, 771, 738
• GCD of 363, 548, 164, 233
• GCD of 428, 256, 913, 335
• GCD of 713, 825, 899, 463
• GCD of 225, 700, 410, 197

Given numbers are 232, 400, 448, 416
The greatest common divisor of numbers 232, 400, 448, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 400, 448, 416 is 8.

1. What is the GCD of 232, 400, 448, 416?

GCD of given numbers 232, 400, 448, 416 is 8

2. How to calculate the greatest common divisor of 232, 400, 448, 416?

We can find the highest common divisor of 232, 400, 448, 416 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 232, 400, 448, 416 i.e 8.

3. How can I use the GCD of 232, 400, 448, 416Calculator?

Out the numbers 232, 400, 448, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.