GCD of 242, 612, 75, 442 Calculator

Given Input numbers are 242, 612, 75, 442

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (242, 612, 75, 442) = 1.

Given numbers are 242, 612, 75, 442

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 75 are 3 x 5 x 5

Prime factors of 442 are 2 x 13 x 17

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

Given numbers are 242, 612, 75, 442

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

Apply this formula for all numbers.

Step1:

LCM(242, 612) = 74052

GCD(242, 612) = ( 242 x 612 ) / 74052

= 242 / 612

= 242

Step2:

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

= 2 / 75

= 2

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 242, 612, 75, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 751, 68, 852
• GCD of 163, 444, 20, 361
• GCD of 698, 960, 26, 556
• GCD of 242, 372, 78, 100
• GCD of 730, 779, 30, 354

Given numbers are 242, 612, 75, 442
The greatest common divisor of numbers 242, 612, 75, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 612, 75, 442 is 1.

1. What is the GCD of 242, 612, 75, 442?

GCD of given numbers 242, 612, 75, 442 is 1

2. How to calculate the greatest common divisor of 242, 612, 75, 442?

We can find the highest common divisor of 242, 612, 75, 442 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, 612, 75, 442 i.e 1.

3. How can I use the GCD of 242, 612, 75, 442Calculator?

Out the numbers 242, 612, 75, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.