GCD of 208, 431, 497, 209 Calculator

Given Input numbers are 208, 431, 497, 209

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 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (208, 431, 497, 209) = 1.

Given numbers are 208, 431, 497, 209

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 431 are 431

Prime factors of 497 are 7 x 71

Prime factors of 209 are 11 x 19

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

Given numbers are 208, 431, 497, 209

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

Apply this formula for all numbers.

Step1:

LCM(208, 431) = 89648

GCD(208, 431) = ( 208 x 431 ) / 89648

= 208 / 431

= 208

Step2:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

Step3:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 208, 431, 497, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 504, 909, 733
• GCD of 289, 542, 670, 347
• GCD of 106, 911, 930, 949
• GCD of 387, 762, 209, 304
• GCD of 632, 375, 158, 663

Given numbers are 208, 431, 497, 209
The greatest common divisor of numbers 208, 431, 497, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 431, 497, 209 is 1.

1. What is the GCD of 208, 431, 497, 209?

GCD of given numbers 208, 431, 497, 209 is 1

2. How to calculate the greatest common divisor of 208, 431, 497, 209?

We can find the highest common divisor of 208, 431, 497, 209 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, 431, 497, 209 i.e 1.

3. How can I use the GCD of 208, 431, 497, 209Calculator?

Out the numbers 208, 431, 497, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.