GCD of 160, 432, 400, 728 Calculator

Given Input numbers are 160, 432, 400, 728

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (160, 432, 400, 728) = 8.

Given numbers are 160, 432, 400, 728

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2³

Therefore, GCD of 160, 432, 400, 728 is 8.

Given numbers are 160, 432, 400, 728

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

Apply this formula for all numbers.

Step1:

LCM(160, 432) = 4320

GCD(160, 432) = ( 160 x 432 ) / 4320

= 160 / 432

= 160

Step2:

LCM(16, 400) = 400

GCD(16, 400) = ( 16 x 400 ) / 400

= 16 / 400

= 16

Step3:

LCM(16, 728) = 1456

GCD(16, 728) = ( 16 x 728 ) / 1456

= 16 / 728

= 16

So, Greatest Common Divisor of 160, 432, 400, 728 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 317, 493, 354
• GCD of 227, 923, 729, 330
• GCD of 236, 191, 249, 880
• GCD of 972, 666, 634, 817
• GCD of 672, 791, 149, 574

Given numbers are 160, 432, 400, 728
The greatest common divisor of numbers 160, 432, 400, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 432, 400, 728 is 8.

1. What is the GCD of 160, 432, 400, 728?

GCD of given numbers 160, 432, 400, 728 is 8

2. How to calculate the greatest common divisor of 160, 432, 400, 728?

We can find the highest common divisor of 160, 432, 400, 728 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 160, 432, 400, 728 i.e 8.

3. How can I use the GCD of 160, 432, 400, 728Calculator?

Out the numbers 160, 432, 400, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.