GCD of 728, 920, 607, 408 Calculator

Given Input numbers are 728, 920, 607, 408

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 607 :

The positive integer divisors of 607 that completely divides 607 are.

1, 607

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

GCD of numbers is the greatest common divisor

So, the GCD (728, 920, 607, 408) = 1.

Given numbers are 728, 920, 607, 408

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 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 607 are 607

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

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

Given numbers are 728, 920, 607, 408

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

Apply this formula for all numbers.

Step1:

LCM(728, 920) = 83720

GCD(728, 920) = ( 728 x 920 ) / 83720

= 728 / 920

= 728

Step2:

LCM(8, 607) = 4856

GCD(8, 607) = ( 8 x 607 ) / 4856

= 8 / 607

= 8

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 728, 920, 607, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 709, 656, 940
• GCD of 472, 595, 173, 121
• GCD of 944, 285, 825, 441
• GCD of 828, 472, 472, 865
• GCD of 256, 492, 708, 163

Given numbers are 728, 920, 607, 408
The greatest common divisor of numbers 728, 920, 607, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 920, 607, 408 is 1.

1. What is the GCD of 728, 920, 607, 408?

GCD of given numbers 728, 920, 607, 408 is 1

2. How to calculate the greatest common divisor of 728, 920, 607, 408?

We can find the highest common divisor of 728, 920, 607, 408 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, 920, 607, 408 i.e 1.

3. How can I use the GCD of 728, 920, 607, 408Calculator?

Out the numbers 728, 920, 607, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.