GCD of 800, 344, 272, 159 Calculator

Given Input numbers are 800, 344, 272, 159

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (800, 344, 272, 159) = 1.

Given numbers are 800, 344, 272, 159

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 344 are 2 x 2 x 2 x 43

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 159 are 3 x 53

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

Given numbers are 800, 344, 272, 159

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

Apply this formula for all numbers.

Step1:

LCM(800, 344) = 34400

GCD(800, 344) = ( 800 x 344 ) / 34400

= 800 / 344

= 800

Step2:

LCM(8, 272) = 272

GCD(8, 272) = ( 8 x 272 ) / 272

= 8 / 272

= 8

Step3:

LCM(8, 159) = 1272

GCD(8, 159) = ( 8 x 159 ) / 1272

= 8 / 159

= 8

So, Greatest Common Divisor of 800, 344, 272, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 181, 720, 501
• GCD of 159, 290, 419, 271
• GCD of 887, 790, 935, 170
• GCD of 206, 125, 365, 831
• GCD of 785, 838, 595, 960

Given numbers are 800, 344, 272, 159
The greatest common divisor of numbers 800, 344, 272, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 344, 272, 159 is 1.

1. What is the GCD of 800, 344, 272, 159?

GCD of given numbers 800, 344, 272, 159 is 1

2. How to calculate the greatest common divisor of 800, 344, 272, 159?

We can find the highest common divisor of 800, 344, 272, 159 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, 344, 272, 159 i.e 1.

3. How can I use the GCD of 800, 344, 272, 159Calculator?

Out the numbers 800, 344, 272, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.