GCD of 105, 712, 830, 384 Calculator

Given Input numbers are 105, 712, 830, 384

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (105, 712, 830, 384) = 1.

Given numbers are 105, 712, 830, 384

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 830 are 2 x 5 x 83

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 105, 712, 830, 384

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

Apply this formula for all numbers.

Step1:

LCM(105, 712) = 74760

GCD(105, 712) = ( 105 x 712 ) / 74760

= 105 / 712

= 105

Step2:

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

= 1 / 830

= 1

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 105, 712, 830, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 992, 771, 276
• GCD of 337, 542, 290, 332
• GCD of 435, 142, 691, 968
• GCD of 579, 611, 168, 653
• GCD of 866, 522, 385, 304

Given numbers are 105, 712, 830, 384
The greatest common divisor of numbers 105, 712, 830, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 712, 830, 384 is 1.

1. What is the GCD of 105, 712, 830, 384?

GCD of given numbers 105, 712, 830, 384 is 1

2. How to calculate the greatest common divisor of 105, 712, 830, 384?

We can find the highest common divisor of 105, 712, 830, 384 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, 712, 830, 384 i.e 1.

3. How can I use the GCD of 105, 712, 830, 384Calculator?

Out the numbers 105, 712, 830, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.