GCD of 339, 477, 800, 112 Calculator

Given Input numbers are 339, 477, 800, 112

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (339, 477, 800, 112) = 1.

Given numbers are 339, 477, 800, 112

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 477 are 3 x 3 x 53

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 339, 477, 800, 112

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

Apply this formula for all numbers.

Step1:

LCM(339, 477) = 53901

GCD(339, 477) = ( 339 x 477 ) / 53901

= 339 / 477

= 339

Step2:

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

= 3 / 800

= 3

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 339, 477, 800, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 762, 838, 226
• GCD of 599, 100, 584, 855
• GCD of 729, 652, 989, 290
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• GCD of 718, 752, 300, 227

Given numbers are 339, 477, 800, 112
The greatest common divisor of numbers 339, 477, 800, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 477, 800, 112 is 1.

1. What is the GCD of 339, 477, 800, 112?

GCD of given numbers 339, 477, 800, 112 is 1

2. How to calculate the greatest common divisor of 339, 477, 800, 112?

We can find the highest common divisor of 339, 477, 800, 112 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 339, 477, 800, 112 i.e 1.

3. How can I use the GCD of 339, 477, 800, 112Calculator?

Out the numbers 339, 477, 800, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.