GCD of 218, 104, 112, 291 Calculator

Given Input numbers are 218, 104, 112, 291

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

Divisors of 218 :

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

1, 2, 109, 218

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (218, 104, 112, 291) = 1.

Given numbers are 218, 104, 112, 291

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 291 are 3 x 97

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

Given numbers are 218, 104, 112, 291

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

Apply this formula for all numbers.

Step1:

LCM(218, 104) = 11336

GCD(218, 104) = ( 218 x 104 ) / 11336

= 218 / 104

= 218

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

= 2 / 291

= 2

So, Greatest Common Divisor of 218, 104, 112, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 894, 399, 615
• GCD of 509, 615, 983, 420
• GCD of 159, 199, 321, 747
• GCD of 421, 675, 476, 857
• GCD of 935, 149, 137, 363

Given numbers are 218, 104, 112, 291
The greatest common divisor of numbers 218, 104, 112, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 104, 112, 291 is 1.

1. What is the GCD of 218, 104, 112, 291?

GCD of given numbers 218, 104, 112, 291 is 1

2. How to calculate the greatest common divisor of 218, 104, 112, 291?

We can find the highest common divisor of 218, 104, 112, 291 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 218, 104, 112, 291 i.e 1.

3. How can I use the GCD of 218, 104, 112, 291Calculator?

Out the numbers 218, 104, 112, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.