GCD of 104, 214, 466, 221 Calculator

Given Input numbers are 104, 214, 466, 221

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

Divisors of 104 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (104, 214, 466, 221) = 1.

Given numbers are 104, 214, 466, 221

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 466 are 2 x 233

Prime factors of 221 are 13 x 17

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

Given numbers are 104, 214, 466, 221

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

Apply this formula for all numbers.

Step1:

LCM(104, 214) = 11128

GCD(104, 214) = ( 104 x 214 ) / 11128

= 104 / 214

= 104

Step2:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

Step3:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

So, Greatest Common Divisor of 104, 214, 466, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 437, 194, 857
• GCD of 665, 386, 432, 283
• GCD of 977, 312, 705, 760
• GCD of 717, 285, 126, 409
• GCD of 618, 967, 632, 704

Given numbers are 104, 214, 466, 221
The greatest common divisor of numbers 104, 214, 466, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 214, 466, 221 is 1.

1. What is the GCD of 104, 214, 466, 221?

GCD of given numbers 104, 214, 466, 221 is 1

2. How to calculate the greatest common divisor of 104, 214, 466, 221?

We can find the highest common divisor of 104, 214, 466, 221 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 104, 214, 466, 221 i.e 1.

3. How can I use the GCD of 104, 214, 466, 221Calculator?

Out the numbers 104, 214, 466, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.