GCD of 189, 800, 799, 301 Calculator

Given Input numbers are 189, 800, 799, 301

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

Divisors of 189 :

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

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

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 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (189, 800, 799, 301) = 1.

Given numbers are 189, 800, 799, 301

The list of prime factors of all numbers are

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

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

Prime factors of 799 are 17 x 47

Prime factors of 301 are 7 x 43

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

Given numbers are 189, 800, 799, 301

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

Apply this formula for all numbers.

Step1:

LCM(189, 800) = 151200

GCD(189, 800) = ( 189 x 800 ) / 151200

= 189 / 800

= 189

Step2:

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

= 1 / 799

= 1

Step3:

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

= 1 / 301

= 1

So, Greatest Common Divisor of 189, 800, 799, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 499, 719, 184
• GCD of 341, 137, 158, 238
• GCD of 270, 860, 324, 432
• GCD of 771, 516, 612, 187
• GCD of 126, 134, 669, 567

Given numbers are 189, 800, 799, 301
The greatest common divisor of numbers 189, 800, 799, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 800, 799, 301 is 1.

1. What is the GCD of 189, 800, 799, 301?

GCD of given numbers 189, 800, 799, 301 is 1

2. How to calculate the greatest common divisor of 189, 800, 799, 301?

We can find the highest common divisor of 189, 800, 799, 301 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 189, 800, 799, 301 i.e 1.

3. How can I use the GCD of 189, 800, 799, 301Calculator?

Out the numbers 189, 800, 799, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.