GCD of 120, 317, 445, 314 Calculator

Given Input numbers are 120, 317, 445, 314

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

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 (120, 317, 445, 314) = 1.

Given numbers are 120, 317, 445, 314

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 317 are 317

Prime factors of 445 are 5 x 89

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 120, 317, 445, 314

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

Apply this formula for all numbers.

Step1:

LCM(120, 317) = 38040

GCD(120, 317) = ( 120 x 317 ) / 38040

= 120 / 317

= 120

Step2:

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

= 1 / 445

= 1

Step3:

LCM(1, 314) = 314

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

= 1 / 314

= 1

So, Greatest Common Divisor of 120, 317, 445, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 705, 234, 203
• GCD of 471, 234, 371, 549
• GCD of 215, 513, 470, 136
• GCD of 534, 390, 800, 530
• GCD of 344, 162, 939, 172

Given numbers are 120, 317, 445, 314
The greatest common divisor of numbers 120, 317, 445, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 317, 445, 314 is 1.

1. What is the GCD of 120, 317, 445, 314?

GCD of given numbers 120, 317, 445, 314 is 1

2. How to calculate the greatest common divisor of 120, 317, 445, 314?

We can find the highest common divisor of 120, 317, 445, 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 120, 317, 445, 314 i.e 1.

3. How can I use the GCD of 120, 317, 445, 314Calculator?

Out the numbers 120, 317, 445, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.