GCD of 728, 160, 476, 484 Calculator

Given Input numbers are 728, 160, 476, 484

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

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

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (728, 160, 476, 484) = 4.

Given numbers are 728, 160, 476, 484

The list of prime factors of all numbers are

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

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

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2²

Therefore, GCD of 728, 160, 476, 484 is 4.

Given numbers are 728, 160, 476, 484

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

Apply this formula for all numbers.

Step1:

LCM(728, 160) = 14560

GCD(728, 160) = ( 728 x 160 ) / 14560

= 728 / 160

= 728

Step2:

LCM(8, 476) = 952

GCD(8, 476) = ( 8 x 476 ) / 952

= 8 / 476

= 8

Step3:

LCM(4, 484) = 484

GCD(4, 484) = ( 4 x 484 ) / 484

= 4 / 484

= 4

So, Greatest Common Divisor of 728, 160, 476, 484 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 614, 889, 782
• GCD of 355, 480, 660, 274
• GCD of 675, 931, 498, 160
• GCD of 234, 422, 110, 589
• GCD of 681, 224, 537, 100

Given numbers are 728, 160, 476, 484
The greatest common divisor of numbers 728, 160, 476, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 160, 476, 484 is 4.

1. What is the GCD of 728, 160, 476, 484?

GCD of given numbers 728, 160, 476, 484 is 4

2. How to calculate the greatest common divisor of 728, 160, 476, 484?

We can find the highest common divisor of 728, 160, 476, 484 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 728, 160, 476, 484 i.e 4.

3. How can I use the GCD of 728, 160, 476, 484Calculator?

Out the numbers 728, 160, 476, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.