GCD of 112, 303, 28, 343 Calculator

Given Input numbers are 112, 303, 28, 343

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

Divisors of 112 :

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

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

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (112, 303, 28, 343) = 1.

Given numbers are 112, 303, 28, 343

The list of prime factors of all numbers are

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

Prime factors of 303 are 3 x 101

Prime factors of 28 are 2 x 2 x 7

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 112, 303, 28, 343

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

Apply this formula for all numbers.

Step1:

LCM(112, 303) = 33936

GCD(112, 303) = ( 112 x 303 ) / 33936

= 112 / 303

= 112

Step2:

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

= 1 / 28

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 112, 303, 28, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 277, 47, 929
• GCD of 123, 762, 60, 720
• GCD of 498, 515, 28, 706
• GCD of 874, 641, 77, 152
• GCD of 518, 993, 69, 218

Given numbers are 112, 303, 28, 343
The greatest common divisor of numbers 112, 303, 28, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 303, 28, 343 is 1.

1. What is the GCD of 112, 303, 28, 343?

GCD of given numbers 112, 303, 28, 343 is 1

2. How to calculate the greatest common divisor of 112, 303, 28, 343?

We can find the highest common divisor of 112, 303, 28, 343 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 112, 303, 28, 343 i.e 1.

3. How can I use the GCD of 112, 303, 28, 343Calculator?

Out the numbers 112, 303, 28, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.