GCD of 407, 728, 650, 960 Calculator

Given Input numbers are 407, 728, 650, 960

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (407, 728, 650, 960) = 1.

Given numbers are 407, 728, 650, 960

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 407, 728, 650, 960

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

Apply this formula for all numbers.

Step1:

LCM(407, 728) = 296296

GCD(407, 728) = ( 407 x 728 ) / 296296

= 407 / 728

= 407

Step2:

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

= 1 / 650

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 407, 728, 650, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 801, 409, 433
• GCD of 824, 802, 155, 852
• GCD of 860, 422, 868, 758
• GCD of 990, 405, 798, 118
• GCD of 420, 539, 328, 947

Given numbers are 407, 728, 650, 960
The greatest common divisor of numbers 407, 728, 650, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 728, 650, 960 is 1.

1. What is the GCD of 407, 728, 650, 960?

GCD of given numbers 407, 728, 650, 960 is 1

2. How to calculate the greatest common divisor of 407, 728, 650, 960?

We can find the highest common divisor of 407, 728, 650, 960 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 407, 728, 650, 960 i.e 1.

3. How can I use the GCD of 407, 728, 650, 960Calculator?

Out the numbers 407, 728, 650, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.