GCD of 105, 800, 28, 319 Calculator

Given Input numbers are 105, 800, 28, 319

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

GCD of numbers is the greatest common divisor

So, the GCD (105, 800, 28, 319) = 1.

Given numbers are 105, 800, 28, 319

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 28 are 2 x 2 x 7

Prime factors of 319 are 11 x 29

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

Given numbers are 105, 800, 28, 319

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

Apply this formula for all numbers.

Step1:

LCM(105, 800) = 16800

GCD(105, 800) = ( 105 x 800 ) / 16800

= 105 / 800

= 105

Step2:

LCM(5, 28) = 140

GCD(5, 28) = ( 5 x 28 ) / 140

= 5 / 28

= 5

Step3:

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

= 1 / 319

= 1

So, Greatest Common Divisor of 105, 800, 28, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 110, 15, 832
• GCD of 536, 860, 75, 876
• GCD of 311, 791, 94, 431
• GCD of 857, 291, 22, 431
• GCD of 851, 605, 90, 202

Given numbers are 105, 800, 28, 319
The greatest common divisor of numbers 105, 800, 28, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 800, 28, 319 is 1.

1. What is the GCD of 105, 800, 28, 319?

GCD of given numbers 105, 800, 28, 319 is 1

2. How to calculate the greatest common divisor of 105, 800, 28, 319?

We can find the highest common divisor of 105, 800, 28, 319 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, 800, 28, 319 i.e 1.

3. How can I use the GCD of 105, 800, 28, 319Calculator?

Out the numbers 105, 800, 28, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.