GCD of 728, 440, 461, 678 Calculator

Given Input numbers are 728, 440, 461, 678

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 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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (728, 440, 461, 678) = 1.

Given numbers are 728, 440, 461, 678

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 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 461 are 461

Prime factors of 678 are 2 x 3 x 113

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 728, 440, 461, 678

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

Apply this formula for all numbers.

Step1:

LCM(728, 440) = 40040

GCD(728, 440) = ( 728 x 440 ) / 40040

= 728 / 440

= 728

Step2:

LCM(8, 461) = 3688

GCD(8, 461) = ( 8 x 461 ) / 3688

= 8 / 461

= 8

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 728, 440, 461, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 856, 449, 862
• GCD of 902, 344, 261, 430
• GCD of 582, 997, 722, 680
• GCD of 277, 458, 699, 775
• GCD of 976, 662, 419, 332

Given numbers are 728, 440, 461, 678
The greatest common divisor of numbers 728, 440, 461, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 440, 461, 678 is 1.

1. What is the GCD of 728, 440, 461, 678?

GCD of given numbers 728, 440, 461, 678 is 1

2. How to calculate the greatest common divisor of 728, 440, 461, 678?

We can find the highest common divisor of 728, 440, 461, 678 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, 440, 461, 678 i.e 1.

3. How can I use the GCD of 728, 440, 461, 678Calculator?

Out the numbers 728, 440, 461, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.