GCD of 406, 404, 728, 987 Calculator

Given Input numbers are 406, 404, 728, 987

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

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (406, 404, 728, 987) = 1.

Given numbers are 406, 404, 728, 987

The list of prime factors of all numbers are

Prime factors of 406 are 2 x 7 x 29

Prime factors of 404 are 2 x 2 x 101

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

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 406, 404, 728, 987

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

Apply this formula for all numbers.

Step1:

LCM(406, 404) = 82012

GCD(406, 404) = ( 406 x 404 ) / 82012

= 406 / 404

= 406

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 406, 404, 728, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 420, 528, 948
• GCD of 909, 751, 720, 751
• GCD of 639, 105, 806, 150
• GCD of 435, 305, 229, 331
• GCD of 359, 422, 531, 355

Given numbers are 406, 404, 728, 987
The greatest common divisor of numbers 406, 404, 728, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 404, 728, 987 is 1.

1. What is the GCD of 406, 404, 728, 987?

GCD of given numbers 406, 404, 728, 987 is 1

2. How to calculate the greatest common divisor of 406, 404, 728, 987?

We can find the highest common divisor of 406, 404, 728, 987 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 406, 404, 728, 987 i.e 1.

3. How can I use the GCD of 406, 404, 728, 987Calculator?

Out the numbers 406, 404, 728, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.