GCD of 120, 390, 374, 865 Calculator

Given Input numbers are 120, 390, 374, 865

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

GCD of numbers is the greatest common divisor

So, the GCD (120, 390, 374, 865) = 1.

Given numbers are 120, 390, 374, 865

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 390 are 2 x 3 x 5 x 13

Prime factors of 374 are 2 x 11 x 17

Prime factors of 865 are 5 x 173

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

Given numbers are 120, 390, 374, 865

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

Apply this formula for all numbers.

Step1:

LCM(120, 390) = 1560

GCD(120, 390) = ( 120 x 390 ) / 1560

= 120 / 390

= 120

Step2:

LCM(30, 374) = 5610

GCD(30, 374) = ( 30 x 374 ) / 5610

= 30 / 374

= 30

Step3:

LCM(2, 865) = 1730

GCD(2, 865) = ( 2 x 865 ) / 1730

= 2 / 865

= 2

So, Greatest Common Divisor of 120, 390, 374, 865 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 433, 965, 770
• GCD of 299, 289, 856, 998
• GCD of 294, 636, 844, 266
• GCD of 879, 665, 183, 585
• GCD of 924, 217, 205, 726

Given numbers are 120, 390, 374, 865
The greatest common divisor of numbers 120, 390, 374, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 390, 374, 865 is 1.

1. What is the GCD of 120, 390, 374, 865?

GCD of given numbers 120, 390, 374, 865 is 1

2. How to calculate the greatest common divisor of 120, 390, 374, 865?

We can find the highest common divisor of 120, 390, 374, 865 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, 390, 374, 865 i.e 1.

3. How can I use the GCD of 120, 390, 374, 865Calculator?

Out the numbers 120, 390, 374, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.