GCD of 209, 821, 300, 238 Calculator

Given Input numbers are 209, 821, 300, 238

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

Divisors of 209 :

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

1, 11, 19, 209

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (209, 821, 300, 238) = 1.

Given numbers are 209, 821, 300, 238

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 821 are 821

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 209, 821, 300, 238

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

Apply this formula for all numbers.

Step1:

LCM(209, 821) = 171589

GCD(209, 821) = ( 209 x 821 ) / 171589

= 209 / 821

= 209

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 209, 821, 300, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 408, 806, 248
• GCD of 216, 197, 664, 327
• GCD of 170, 659, 219, 661
• GCD of 661, 650, 381, 324
• GCD of 175, 406, 345, 195

Given numbers are 209, 821, 300, 238
The greatest common divisor of numbers 209, 821, 300, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 821, 300, 238 is 1.

1. What is the GCD of 209, 821, 300, 238?

GCD of given numbers 209, 821, 300, 238 is 1

2. How to calculate the greatest common divisor of 209, 821, 300, 238?

We can find the highest common divisor of 209, 821, 300, 238 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 209, 821, 300, 238 i.e 1.

3. How can I use the GCD of 209, 821, 300, 238Calculator?

Out the numbers 209, 821, 300, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.