GCD of 105, 123, 966, 386 Calculator

Given Input numbers are 105, 123, 966, 386

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

GCD of numbers is the greatest common divisor

So, the GCD (105, 123, 966, 386) = 1.

Given numbers are 105, 123, 966, 386

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 123 are 3 x 41

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 386 are 2 x 193

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

Given numbers are 105, 123, 966, 386

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

Apply this formula for all numbers.

Step1:

LCM(105, 123) = 4305

GCD(105, 123) = ( 105 x 123 ) / 4305

= 105 / 123

= 105

Step2:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

Step3:

LCM(3, 386) = 1158

GCD(3, 386) = ( 3 x 386 ) / 1158

= 3 / 386

= 3

So, Greatest Common Divisor of 105, 123, 966, 386 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 259, 104, 641
• GCD of 759, 752, 494, 260
• GCD of 215, 543, 894, 289
• GCD of 203, 481, 479, 617
• GCD of 284, 624, 139, 881

Given numbers are 105, 123, 966, 386
The greatest common divisor of numbers 105, 123, 966, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 123, 966, 386 is 1.

1. What is the GCD of 105, 123, 966, 386?

GCD of given numbers 105, 123, 966, 386 is 1

2. How to calculate the greatest common divisor of 105, 123, 966, 386?

We can find the highest common divisor of 105, 123, 966, 386 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 105, 123, 966, 386 i.e 1.

3. How can I use the GCD of 105, 123, 966, 386Calculator?

Out the numbers 105, 123, 966, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.