GCD of 360, 656, 165, 314 Calculator

Given Input numbers are 360, 656, 165, 314

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (360, 656, 165, 314) = 1.

Given numbers are 360, 656, 165, 314

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 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 165 are 3 x 5 x 11

Prime factors of 314 are 2 x 157

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

Given numbers are 360, 656, 165, 314

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

Apply this formula for all numbers.

Step1:

LCM(360, 656) = 29520

GCD(360, 656) = ( 360 x 656 ) / 29520

= 360 / 656

= 360

Step2:

LCM(8, 165) = 1320

GCD(8, 165) = ( 8 x 165 ) / 1320

= 8 / 165

= 8

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 360, 656, 165, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 147, 219, 211
• GCD of 238, 825, 951, 350
• GCD of 125, 471, 852, 373
• GCD of 282, 396, 240, 292
• GCD of 904, 341, 495, 185

Given numbers are 360, 656, 165, 314
The greatest common divisor of numbers 360, 656, 165, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 656, 165, 314 is 1.

1. What is the GCD of 360, 656, 165, 314?

GCD of given numbers 360, 656, 165, 314 is 1

2. How to calculate the greatest common divisor of 360, 656, 165, 314?

We can find the highest common divisor of 360, 656, 165, 314 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, 656, 165, 314 i.e 1.

3. How can I use the GCD of 360, 656, 165, 314Calculator?

Out the numbers 360, 656, 165, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.