GCD of 800, 399, 311, 240 Calculator

Given Input numbers are 800, 399, 311, 240

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (800, 399, 311, 240) = 1.

Given numbers are 800, 399, 311, 240

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 399 are 3 x 7 x 19

Prime factors of 311 are 311

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 800, 399, 311, 240

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

Apply this formula for all numbers.

Step1:

LCM(800, 399) = 319200

GCD(800, 399) = ( 800 x 399 ) / 319200

= 800 / 399

= 800

Step2:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 800, 399, 311, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 573, 337, 495
• GCD of 993, 159, 163, 908
• GCD of 799, 238, 384, 745
• GCD of 105, 461, 155, 229
• GCD of 902, 205, 322, 591

Given numbers are 800, 399, 311, 240
The greatest common divisor of numbers 800, 399, 311, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 399, 311, 240 is 1.

1. What is the GCD of 800, 399, 311, 240?

GCD of given numbers 800, 399, 311, 240 is 1

2. How to calculate the greatest common divisor of 800, 399, 311, 240?

We can find the highest common divisor of 800, 399, 311, 240 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, 399, 311, 240 i.e 1.

3. How can I use the GCD of 800, 399, 311, 240Calculator?

Out the numbers 800, 399, 311, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.