GCD of 728, 988, 408, 440 Calculator

Given Input numbers are 728, 988, 408, 440

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (728, 988, 408, 440) = 4.

Given numbers are 728, 988, 408, 440

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 988 are 2 x 2 x 13 x 19

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2²

Therefore, GCD of 728, 988, 408, 440 is 4.

Given numbers are 728, 988, 408, 440

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

Apply this formula for all numbers.

Step1:

LCM(728, 988) = 13832

GCD(728, 988) = ( 728 x 988 ) / 13832

= 728 / 988

= 728

Step2:

LCM(52, 408) = 5304

GCD(52, 408) = ( 52 x 408 ) / 5304

= 52 / 408

= 52

Step3:

LCM(4, 440) = 440

GCD(4, 440) = ( 4 x 440 ) / 440

= 4 / 440

= 4

So, Greatest Common Divisor of 728, 988, 408, 440 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 431, 211, 955
• GCD of 889, 835, 905, 653
• GCD of 228, 316, 306, 990
• GCD of 126, 248, 320, 666
• GCD of 100, 546, 315, 414

Given numbers are 728, 988, 408, 440
The greatest common divisor of numbers 728, 988, 408, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 988, 408, 440 is 4.

1. What is the GCD of 728, 988, 408, 440?

GCD of given numbers 728, 988, 408, 440 is 4

2. How to calculate the greatest common divisor of 728, 988, 408, 440?

We can find the highest common divisor of 728, 988, 408, 440 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, 988, 408, 440 i.e 4.

3. How can I use the GCD of 728, 988, 408, 440Calculator?

Out the numbers 728, 988, 408, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.