GCD of 360, 213, 314, 393 Calculator

Given Input numbers are 360, 213, 314, 393

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (360, 213, 314, 393) = 1.

Given numbers are 360, 213, 314, 393

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 213 are 3 x 71

Prime factors of 314 are 2 x 157

Prime factors of 393 are 3 x 131

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

Given numbers are 360, 213, 314, 393

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

Apply this formula for all numbers.

Step1:

LCM(360, 213) = 25560

GCD(360, 213) = ( 360 x 213 ) / 25560

= 360 / 213

= 360

Step2:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3

Step3:

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

= 1 / 393

= 1

So, Greatest Common Divisor of 360, 213, 314, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 662, 764, 892
• GCD of 353, 656, 303, 278
• GCD of 177, 706, 541, 825
• GCD of 458, 240, 928, 619
• GCD of 245, 928, 362, 899

Given numbers are 360, 213, 314, 393
The greatest common divisor of numbers 360, 213, 314, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 213, 314, 393 is 1.

1. What is the GCD of 360, 213, 314, 393?

GCD of given numbers 360, 213, 314, 393 is 1

2. How to calculate the greatest common divisor of 360, 213, 314, 393?

We can find the highest common divisor of 360, 213, 314, 393 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, 213, 314, 393 i.e 1.

3. How can I use the GCD of 360, 213, 314, 393Calculator?

Out the numbers 360, 213, 314, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.