GCD of 687, 960, 40, 302 Calculator

Given Input numbers are 687, 960, 40, 302

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (687, 960, 40, 302) = 1.

Given numbers are 687, 960, 40, 302

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

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

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 302 are 2 x 151

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

Given numbers are 687, 960, 40, 302

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

Apply this formula for all numbers.

Step1:

LCM(687, 960) = 219840

GCD(687, 960) = ( 687 x 960 ) / 219840

= 687 / 960

= 687

Step2:

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

= 3 / 40

= 3

Step3:

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

= 1 / 302

= 1

So, Greatest Common Divisor of 687, 960, 40, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 279, 86, 210
• GCD of 395, 625, 92, 134
• GCD of 806, 957, 43, 845
• GCD of 876, 119, 51, 428
• GCD of 410, 909, 43, 773

Given numbers are 687, 960, 40, 302
The greatest common divisor of numbers 687, 960, 40, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 960, 40, 302 is 1.

1. What is the GCD of 687, 960, 40, 302?

GCD of given numbers 687, 960, 40, 302 is 1

2. How to calculate the greatest common divisor of 687, 960, 40, 302?

We can find the highest common divisor of 687, 960, 40, 302 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 687, 960, 40, 302 i.e 1.

3. How can I use the GCD of 687, 960, 40, 302Calculator?

Out the numbers 687, 960, 40, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.