GCD of 242, 784, 422, 222 Calculator

Given Input numbers are 242, 784, 422, 222

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 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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (242, 784, 422, 222) = 2.

Given numbers are 242, 784, 422, 222

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 422 are 2 x 211

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 2¹

Therefore, GCD of 242, 784, 422, 222 is 2.

Given numbers are 242, 784, 422, 222

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

Apply this formula for all numbers.

Step1:

LCM(242, 784) = 94864

GCD(242, 784) = ( 242 x 784 ) / 94864

= 242 / 784

= 242

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2

So, Greatest Common Divisor of 242, 784, 422, 222 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 591, 514, 901
• GCD of 442, 560, 523, 637
• GCD of 264, 660, 922, 148
• GCD of 449, 986, 937, 941
• GCD of 392, 492, 477, 626

Given numbers are 242, 784, 422, 222
The greatest common divisor of numbers 242, 784, 422, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 784, 422, 222 is 2.

1. What is the GCD of 242, 784, 422, 222?

GCD of given numbers 242, 784, 422, 222 is 2

2. How to calculate the greatest common divisor of 242, 784, 422, 222?

We can find the highest common divisor of 242, 784, 422, 222 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, 784, 422, 222 i.e 2.

3. How can I use the GCD of 242, 784, 422, 222Calculator?

Out the numbers 242, 784, 422, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.