GCD of 784, 990, 105, 242 Calculator

Given Input numbers are 784, 990, 105, 242

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (784, 990, 105, 242) = 1.

Given numbers are 784, 990, 105, 242

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 105 are 3 x 5 x 7

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 784, 990, 105, 242

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

Apply this formula for all numbers.

Step1:

LCM(784, 990) = 388080

GCD(784, 990) = ( 784 x 990 ) / 388080

= 784 / 990

= 784

Step2:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

Step3:

LCM(1, 242) = 242

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

= 1 / 242

= 1

So, Greatest Common Divisor of 784, 990, 105, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 768, 130, 335
• GCD of 857, 990, 411, 788
• GCD of 820, 512, 152, 850
• GCD of 459, 408, 442, 334
• GCD of 626, 915, 882, 627

Given numbers are 784, 990, 105, 242
The greatest common divisor of numbers 784, 990, 105, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 990, 105, 242 is 1.

1. What is the GCD of 784, 990, 105, 242?

GCD of given numbers 784, 990, 105, 242 is 1

2. How to calculate the greatest common divisor of 784, 990, 105, 242?

We can find the highest common divisor of 784, 990, 105, 242 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 784, 990, 105, 242 i.e 1.

3. How can I use the GCD of 784, 990, 105, 242Calculator?

Out the numbers 784, 990, 105, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.