GCD of 800, 309, 888, 189 Calculator

Given Input numbers are 800, 309, 888, 189

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

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (800, 309, 888, 189) = 1.

Given numbers are 800, 309, 888, 189

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 800, 309, 888, 189

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

Apply this formula for all numbers.

Step1:

LCM(800, 309) = 247200

GCD(800, 309) = ( 800 x 309 ) / 247200

= 800 / 309

= 800

Step2:

LCM(1, 888) = 888

GCD(1, 888) = ( 1 x 888 ) / 888

= 1 / 888

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 800, 309, 888, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 357, 871, 475
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• GCD of 508, 859, 870, 285
• GCD of 736, 932, 610, 134

Given numbers are 800, 309, 888, 189
The greatest common divisor of numbers 800, 309, 888, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 309, 888, 189 is 1.

1. What is the GCD of 800, 309, 888, 189?

GCD of given numbers 800, 309, 888, 189 is 1

2. How to calculate the greatest common divisor of 800, 309, 888, 189?

We can find the highest common divisor of 800, 309, 888, 189 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 800, 309, 888, 189 i.e 1.

3. How can I use the GCD of 800, 309, 888, 189Calculator?

Out the numbers 800, 309, 888, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.