GCD of 120, 660, 717, 389 Calculator

Given Input numbers are 120, 660, 717, 389

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

GCD of numbers is the greatest common divisor

So, the GCD (120, 660, 717, 389) = 1.

Given numbers are 120, 660, 717, 389

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 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 717 are 3 x 239

Prime factors of 389 are 389

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

Given numbers are 120, 660, 717, 389

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

Apply this formula for all numbers.

Step1:

LCM(120, 660) = 1320

GCD(120, 660) = ( 120 x 660 ) / 1320

= 120 / 660

= 120

Step2:

LCM(60, 717) = 14340

GCD(60, 717) = ( 60 x 717 ) / 14340

= 60 / 717

= 60

Step3:

LCM(3, 389) = 1167

GCD(3, 389) = ( 3 x 389 ) / 1167

= 3 / 389

= 3

So, Greatest Common Divisor of 120, 660, 717, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 651, 828, 947
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Given numbers are 120, 660, 717, 389
The greatest common divisor of numbers 120, 660, 717, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 660, 717, 389 is 1.

1. What is the GCD of 120, 660, 717, 389?

GCD of given numbers 120, 660, 717, 389 is 1

2. How to calculate the greatest common divisor of 120, 660, 717, 389?

We can find the highest common divisor of 120, 660, 717, 389 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, 660, 717, 389 i.e 1.

3. How can I use the GCD of 120, 660, 717, 389Calculator?

Out the numbers 120, 660, 717, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.