GCD of 242, 798, 824, 238 Calculator

Given Input numbers are 242, 798, 824, 238

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 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (242, 798, 824, 238) = 2.

Given numbers are 242, 798, 824, 238

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 242, 798, 824, 238 is 2.

Given numbers are 242, 798, 824, 238

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

Apply this formula for all numbers.

Step1:

LCM(242, 798) = 96558

GCD(242, 798) = ( 242 x 798 ) / 96558

= 242 / 798

= 242

Step2:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 242, 798, 824, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 166, 932, 606
• GCD of 561, 845, 971, 820
• GCD of 152, 388, 211, 583
• GCD of 158, 732, 270, 737
• GCD of 355, 841, 420, 403

Given numbers are 242, 798, 824, 238
The greatest common divisor of numbers 242, 798, 824, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 798, 824, 238 is 2.

1. What is the GCD of 242, 798, 824, 238?

GCD of given numbers 242, 798, 824, 238 is 2

2. How to calculate the greatest common divisor of 242, 798, 824, 238?

We can find the highest common divisor of 242, 798, 824, 238 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, 798, 824, 238 i.e 2.

3. How can I use the GCD of 242, 798, 824, 238Calculator?

Out the numbers 242, 798, 824, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.