GCD of 800, 959, 796, 288 Calculator

Given Input numbers are 800, 959, 796, 288

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 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (800, 959, 796, 288) = 1.

Given numbers are 800, 959, 796, 288

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 959 are 7 x 137

Prime factors of 796 are 2 x 2 x 199

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 800, 959, 796, 288

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

Apply this formula for all numbers.

Step1:

LCM(800, 959) = 767200

GCD(800, 959) = ( 800 x 959 ) / 767200

= 800 / 959

= 800

Step2:

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

= 1 / 796

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 800, 959, 796, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 101, 643, 247
• GCD of 802, 229, 893, 174
• GCD of 151, 954, 127, 460
• GCD of 560, 844, 263, 452
• GCD of 317, 794, 854, 104

Given numbers are 800, 959, 796, 288
The greatest common divisor of numbers 800, 959, 796, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 959, 796, 288 is 1.

1. What is the GCD of 800, 959, 796, 288?

GCD of given numbers 800, 959, 796, 288 is 1

2. How to calculate the greatest common divisor of 800, 959, 796, 288?

We can find the highest common divisor of 800, 959, 796, 288 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, 959, 796, 288 i.e 1.

3. How can I use the GCD of 800, 959, 796, 288Calculator?

Out the numbers 800, 959, 796, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.