GCD of 112, 107, 337, 218 Calculator

Given Input numbers are 112, 107, 337, 218

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 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (112, 107, 337, 218) = 1.

Given numbers are 112, 107, 337, 218

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 107 are 107

Prime factors of 337 are 337

Prime factors of 218 are 2 x 109

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

Given numbers are 112, 107, 337, 218

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

Apply this formula for all numbers.

Step1:

LCM(112, 107) = 11984

GCD(112, 107) = ( 112 x 107 ) / 11984

= 112 / 107

= 112

Step2:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 112, 107, 337, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 139, 869, 558
• GCD of 245, 288, 389, 456
• GCD of 898, 424, 865, 490
• GCD of 319, 801, 778, 241
• GCD of 434, 121, 438, 113

Given numbers are 112, 107, 337, 218
The greatest common divisor of numbers 112, 107, 337, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 107, 337, 218 is 1.

1. What is the GCD of 112, 107, 337, 218?

GCD of given numbers 112, 107, 337, 218 is 1

2. How to calculate the greatest common divisor of 112, 107, 337, 218?

We can find the highest common divisor of 112, 107, 337, 218 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, 107, 337, 218 i.e 1.

3. How can I use the GCD of 112, 107, 337, 218Calculator?

Out the numbers 112, 107, 337, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.