GCD of 800, 299, 59, 872 Calculator

Given Input numbers are 800, 299, 59, 872

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 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (800, 299, 59, 872) = 1.

Given numbers are 800, 299, 59, 872

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 299 are 13 x 23

Prime factors of 59 are 59

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 800, 299, 59, 872

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

Apply this formula for all numbers.

Step1:

LCM(800, 299) = 239200

GCD(800, 299) = ( 800 x 299 ) / 239200

= 800 / 299

= 800

Step2:

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

= 1 / 59

= 1

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 800, 299, 59, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 608, 73, 786
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• GCD of 449, 403, 10, 855
• GCD of 274, 190, 84, 609

Given numbers are 800, 299, 59, 872
The greatest common divisor of numbers 800, 299, 59, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 299, 59, 872 is 1.

1. What is the GCD of 800, 299, 59, 872?

GCD of given numbers 800, 299, 59, 872 is 1

2. How to calculate the greatest common divisor of 800, 299, 59, 872?

We can find the highest common divisor of 800, 299, 59, 872 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, 299, 59, 872 i.e 1.

3. How can I use the GCD of 800, 299, 59, 872Calculator?

Out the numbers 800, 299, 59, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.