GCD of 242, 219, 109, 384 Calculator

Given Input numbers are 242, 219, 109, 384

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

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (242, 219, 109, 384) = 1.

Given numbers are 242, 219, 109, 384

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 219 are 3 x 73

Prime factors of 109 are 109

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 242, 219, 109, 384

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

Apply this formula for all numbers.

Step1:

LCM(242, 219) = 52998

GCD(242, 219) = ( 242 x 219 ) / 52998

= 242 / 219

= 242

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 242, 219, 109, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 477, 307, 523
• GCD of 521, 962, 840, 417
• GCD of 180, 848, 321, 793
• GCD of 589, 307, 467, 359
• GCD of 111, 819, 950, 939

Given numbers are 242, 219, 109, 384
The greatest common divisor of numbers 242, 219, 109, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 219, 109, 384 is 1.

1. What is the GCD of 242, 219, 109, 384?

GCD of given numbers 242, 219, 109, 384 is 1

2. How to calculate the greatest common divisor of 242, 219, 109, 384?

We can find the highest common divisor of 242, 219, 109, 384 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 242, 219, 109, 384 i.e 1.

3. How can I use the GCD of 242, 219, 109, 384Calculator?

Out the numbers 242, 219, 109, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.