GCD of 208, 412, 221, 616 Calculator

Given Input numbers are 208, 412, 221, 616

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (208, 412, 221, 616) = 1.

Given numbers are 208, 412, 221, 616

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 412 are 2 x 2 x 103

Prime factors of 221 are 13 x 17

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Given numbers are 208, 412, 221, 616

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

Apply this formula for all numbers.

Step1:

LCM(208, 412) = 21424

GCD(208, 412) = ( 208 x 412 ) / 21424

= 208 / 412

= 208

Step2:

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

= 4 / 221

= 4

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 208, 412, 221, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 301, 843, 861
• GCD of 423, 320, 448, 443
• GCD of 974, 674, 444, 299
• GCD of 683, 629, 461, 540
• GCD of 204, 700, 937, 552

Given numbers are 208, 412, 221, 616
The greatest common divisor of numbers 208, 412, 221, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 412, 221, 616 is 1.

1. What is the GCD of 208, 412, 221, 616?

GCD of given numbers 208, 412, 221, 616 is 1

2. How to calculate the greatest common divisor of 208, 412, 221, 616?

We can find the highest common divisor of 208, 412, 221, 616 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 208, 412, 221, 616 i.e 1.

3. How can I use the GCD of 208, 412, 221, 616Calculator?

Out the numbers 208, 412, 221, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.