GCD of 208, 522, 494, 121 Calculator

Given Input numbers are 208, 522, 494, 121

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (208, 522, 494, 121) = 1.

Given numbers are 208, 522, 494, 121

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 494 are 2 x 13 x 19

Prime factors of 121 are 11 x 11

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

Given numbers are 208, 522, 494, 121

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

Apply this formula for all numbers.

Step1:

LCM(208, 522) = 54288

GCD(208, 522) = ( 208 x 522 ) / 54288

= 208 / 522

= 208

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

So, Greatest Common Divisor of 208, 522, 494, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 158, 105, 813
• GCD of 274, 635, 249, 342
• GCD of 929, 705, 560, 215
• GCD of 683, 992, 461, 675
• GCD of 978, 471, 653, 464

Given numbers are 208, 522, 494, 121
The greatest common divisor of numbers 208, 522, 494, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 522, 494, 121 is 1.

1. What is the GCD of 208, 522, 494, 121?

GCD of given numbers 208, 522, 494, 121 is 1

2. How to calculate the greatest common divisor of 208, 522, 494, 121?

We can find the highest common divisor of 208, 522, 494, 121 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 208, 522, 494, 121 i.e 1.

3. How can I use the GCD of 208, 522, 494, 121Calculator?

Out the numbers 208, 522, 494, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.