GCD of 221, 309, 242, 828 Calculator

Given Input numbers are 221, 309, 242, 828

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

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (221, 309, 242, 828) = 1.

Given numbers are 221, 309, 242, 828

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 309 are 3 x 103

Prime factors of 242 are 2 x 11 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 221, 309, 242, 828

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

Apply this formula for all numbers.

Step1:

LCM(221, 309) = 68289

GCD(221, 309) = ( 221 x 309 ) / 68289

= 221 / 309

= 221

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 221, 309, 242, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 847, 956, 868
• GCD of 749, 542, 735, 854
• GCD of 746, 694, 739, 329
• GCD of 401, 271, 612, 485
• GCD of 541, 626, 169, 211

Given numbers are 221, 309, 242, 828
The greatest common divisor of numbers 221, 309, 242, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 309, 242, 828 is 1.

1. What is the GCD of 221, 309, 242, 828?

GCD of given numbers 221, 309, 242, 828 is 1

2. How to calculate the greatest common divisor of 221, 309, 242, 828?

We can find the highest common divisor of 221, 309, 242, 828 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 221, 309, 242, 828 i.e 1.

3. How can I use the GCD of 221, 309, 242, 828Calculator?

Out the numbers 221, 309, 242, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.