GCD of 360, 518, 964, 313 Calculator

Given Input numbers are 360, 518, 964, 313

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (360, 518, 964, 313) = 1.

Given numbers are 360, 518, 964, 313

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 518 are 2 x 7 x 37

Prime factors of 964 are 2 x 2 x 241

Prime factors of 313 are 313

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

Given numbers are 360, 518, 964, 313

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

Apply this formula for all numbers.

Step1:

LCM(360, 518) = 93240

GCD(360, 518) = ( 360 x 518 ) / 93240

= 360 / 518

= 360

Step2:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

Step3:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

So, Greatest Common Divisor of 360, 518, 964, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 702, 477, 276
• GCD of 641, 752, 792, 960
• GCD of 405, 152, 691, 723
• GCD of 615, 362, 820, 995
• GCD of 759, 668, 245, 462

Given numbers are 360, 518, 964, 313
The greatest common divisor of numbers 360, 518, 964, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 518, 964, 313 is 1.

1. What is the GCD of 360, 518, 964, 313?

GCD of given numbers 360, 518, 964, 313 is 1

2. How to calculate the greatest common divisor of 360, 518, 964, 313?

We can find the highest common divisor of 360, 518, 964, 313 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 360, 518, 964, 313 i.e 1.

3. How can I use the GCD of 360, 518, 964, 313Calculator?

Out the numbers 360, 518, 964, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.