GCD of 509, 718, 960, 315 Calculator

Given Input numbers are 509, 718, 960, 315

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (509, 718, 960, 315) = 1.

Given numbers are 509, 718, 960, 315

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 718 are 2 x 359

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

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 509, 718, 960, 315

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

Apply this formula for all numbers.

Step1:

LCM(509, 718) = 365462

GCD(509, 718) = ( 509 x 718 ) / 365462

= 509 / 718

= 509

Step2:

LCM(1, 960) = 960

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

= 1 / 960

= 1

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 509, 718, 960, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 870, 930, 822
• GCD of 469, 242, 336, 886
• GCD of 861, 183, 805, 777
• GCD of 966, 460, 806, 751
• GCD of 303, 371, 116, 763

Given numbers are 509, 718, 960, 315
The greatest common divisor of numbers 509, 718, 960, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 718, 960, 315 is 1.

1. What is the GCD of 509, 718, 960, 315?

GCD of given numbers 509, 718, 960, 315 is 1

2. How to calculate the greatest common divisor of 509, 718, 960, 315?

We can find the highest common divisor of 509, 718, 960, 315 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 509, 718, 960, 315 i.e 1.

3. How can I use the GCD of 509, 718, 960, 315Calculator?

Out the numbers 509, 718, 960, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.